



Class ^tiil^ 
Book ^Vi 



Copyright ]«1» \^Q5 



COPYRIGHT DEPOSrr 



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FORMULAS 



IN 



GEARING 



FOURTH EDITION. 



WITH PRACTICAL SUGGESTIONS. 



'^V t»wV-2^ ^ C^'^'^^^'S C , 



PROVIDENCE, R. I., U. S. A. 

BROWN & SHARPE MANUFACTURING COMPANY. 

n — 

1905. 






fwo Oowes iiec«iv<M ] 

SEP. 13 I9U6 



Copyright 

1900, 1905, 

By BROWN & SHARPE MFG. CO. 



OSr-BOS?^ 9M<ud 



PREFACE. 

It is the aim, in the following pages, to condense as much 
as possible the solution of all problems in gearing which in the 
ordinary practice may be met with, to the exclusion of prob- 
lems dealing with transmission of power and strength of 
gearing. The simplest and briefest being the symbolical 
expression, it has, whenever available, been resorted to. The 
mathematics employed are of a simple kind, and will present 
no difficulty to anyone familiar with ordinary Algebra and 
the elements of Trigonometry. 



CONTENTS. 

FORMULAS IN GEARING. 



CHAPTER I. 

Page 

Systems of Gearing 9 

CHAPTER n. 
Spur Gearing — Formulas — Chordal Thickness of Gear Teeth 12 

CHAPTER ni. 

Bevel Gears, Axes at Right Angles — Formulas — Bevel Gears, Axes at 
any Angle — Formulas — Diameter Increment — Undercut in Bevel 
Gears 16 

CHAPTER IV. 
Worm and Worm Wheel, Formulas — Undercut in Worm Wheels 25 

CHAPTER V. 

Spiral or Screw Gearing — Axes Parallel — Axes at Right Angles — 

Axes at any Angle — General Formulas 29 

CHAPTER VI. 
Internal Gearing — Internal Spur Gearing — Internal Bevel Gears 38 

CHAPTER VII. 
Dimensions and Form for Bevel Gear Cutters 44 

CHAPTER VIII. 

The Indexing of any Whole or Fractional Number — Differential 

Indexing 49 

CHAPTER IX. 

The Gearing of Lathes for Screw Cutting — Simple Gearing — Com- 
pound Gearing — Cutting a Multiple Screw 58 



FORMULAS IN GEARING. 



Ch:af»te:r i. 



SYSTEMS OF GEARING. 

(Figs. 1, 2.) 

There are in common use two systems of gearing, viz.: the 
involute and the epicycloidal. 

In the involute system the outlines of the working parts of a 
tooth are single curves, which may be traced by a point in a 
flexible, inextensible cord being unwound from a circular disk 
the circumference of which is called the base circle, the disk 
being concentric with the pitch circle of the gear. 




In Fig. I the two base circles are represented as tangent to 
the line P P. This line (P P) is variously called " the line of 
pressure," " the line of contact," or " the line of action." 



lO BROWN & SHARPE MFG. CO. 

In our practice this is drawn so as to make with a normal 
to the center line (O O') 14^2°, or with the center line 75>^°. 

T/ie rack of this system has teeth with straight sides, the two 
sides of a tooth making, together, an angle of 29° (twice 

This applies to gears having 30 teeth or more. For gears 
having less than 30 teeth special rules are followed, which are 
explained in our " Practical Treatise on Gearing." 




Fig. 2. 



In epicycloidal^ or double-curve teeth, the formation of the 
curve changes at the pitch circle. The outline of the faces of 
epicycloidal teeth may be traced by a point in a circle rolling 
on the outside of pitch circle of a gear, and the flanks by a point 
in a circle rolling on the inside of the pitch circle. The faces 
of one gear must be traced by the same circle that traces the 
flanks of the engaging gear. 

In our practice the diameter of the rolling or describing 
circle is equal to the radius of a 15-tooth gear of the pitch 
required ; this is the base of the system. The same describing 
circle being used for all gears of the same pitch. 



BROWN & SHARPE MFG. CO. II 

The teeth of the rack of this system have double curves, 
which may be traced by the base circle rolling alternately on 
each side of the pitch line. 

An advantage of the involute over the epicycloidal tooth is, 
that in action gears having involute teeth may be separated a 
little from their normal positions without interfering with the 
angular velocity, which is not possible in any other kind of 
tooth. 

The obliquity of action is sometimes urged as an objection 
to involute teeth, but a full consideration of the subject will 
show that the importance of this has been greatly over-esti- 
mated. 

The tooth dimensions for both the involute and epicycloidal 
gears may be calculated from the formulas in Chapter IX. 



CHAPTER II. 

SPUR GEARING. 

(Figs. 3, 4.) 

Two spur gears in action are comparable to two correspond- 
ing plain rollers whose surfaces are in contact, these surfaces 
representing the pitch circles of the gears. 

Pitch of Gears. 

For convenience of expression the pitch of gears may be 
stated as follows : 

Circular pitch is the distance from the center of one tooth to 
the center- of the next tooth, measured on the pitch line. 

Diametral pitch is the number of teeth in a gear per inch of 
pitch diameter. That is, a gear that has, say, six teeth for each 
inch in pitch diameter is six diametral pitch, or, as the expres- 
sion is universally abbreviated, it is " six pitch." This is by 
far the most convenient way of expressing the relation of 
diameter to number of teeth. 

Module is the pitch diameter of a gear divided by the 
number of teeth. 

Chordal pitch is the distance from center to center of two 
adjacent teeth at the pitch line measured on the chord. 




Fig. 3. 



t^~t-~^ 



BROWN & SHARPS MFG. CO. 



13 




CHORDAL 

THICKNESS 

OF 

GEAR TEETH. 

The dimensions of 
Tooth Parts as given 
in the tables, pages 68 
to 71, are correct ac- 
cording to the defi- 
nition of Tooth Parts ; 
but, as the pitch h'ne 
of gears is curved, the 
thickness of a tooth 
will not be measured 
on the pitch line if 
the Caliper is set to 
the figures given in 
Tables of Tooth Parts. 
To measure the tooth 
accurately the Caliper 
must be set to the 
Chordal Thickness. 



GEAR TOOTH 1 P. 

CHORDAL THICKNESS OF 

TEETH FOR GEARS ON A 

BASIS OF 1 DIAMETRAL 

PITCH. 

S = Distance from pitch line to top of teeth. 

S Corrected = H + S. 

N=:Number of teeth in gear. 

T = Chordal thickness of Tooth. 

H = Height of Arc. 

D' = Pitch Diameter. 

R = Pitch Radius. 

fj^ — go° divided by the number of teeth. 

Note— When the tooth of a gear is measured, add the height of arc to (S). 

For tables giving corrected T and corrected S see pages 

74 and 75. 



T = D' sin. ^' 

H = R(i— COS. /?') 



14 BROWN & SHARPE MFG. CO. 

FORMULAS. 

N = number of teeth. 

s = addendum and module. 

/ = thickness of tooth on pitch line. 
/= clearance at bottom of tooth. 
D" = working depth of tooth. 
D" + / = whole depth of tooth. 

d = pitch diameter. 
d' = outside diameter. 
P' = circular pitch. 
P = diametral pitch. 
C = center distance. 
S =: half the angle subtended by the circular pitch. 

N + 2 



P = 



P= ^ 



P' 



P' = 5 
P 

s= 1- =— = .3183 P' 

P TT ^ ^ 

d d 



~ N N + 2 
2 2 p 

10 



+/=-f('+3=-3^«^^' 



D"_2for p 




D" +/--;"_ 


.6866 P' 


^ . 180° 




. 180° . . 
d = ^ ; sm ^ = 


d 


180° 




--? 




d' = d-\- 2S 




, NP' 

a = 





71 



BROWN & SHARPE MFG. CO. 



Comparative Sizes of Gear Teeth. 
Involute. 




9 p 



Fig. 4. 



CHARTER III. 

BEVEL GEARS.— AXES AT RIGHT ANGLES, 

(Fig. 5.) 




BROWN & SHARPE MFG. CO. 1 7 



FORMULAS. 



'^" - i Number of teeth \ ^?^^' 
Nf, = ) ( pinion 

P = diametral pitch, 

P' = circular pitch. 

a^ = ) center angle = angle of edge j gear. 
af, = ) or pitch angle ( pinion, 

/3 = angle of top. 

/3' = angle of bottom. 



^« - I angle of face \ ^^^.'"• 
gb= ) ^ i pmion. 

7." ~ y cutting angle -< ^. . " 
^^ = j & & I pinion. 

A = apex distance from pitch circle. 
A' = apex distance from large bottom of tooth. 

d= pitch diameter. 
d' = outside diameter. 

s = addendum and module. 

/ = thickness of tooth at pitch line. 

/ = clearance at bottom of tooth. 
D" = working depth of tooth. 
D" +/= whole depth of tooth. 
2 a = diameter increment. 

d = distance from top of tooth to plane of pitch circle. 

F = width of face. 



I^ BROWN & SHARPE MFG. CO. 



tan a^ =-^- ; tan ^5 = -^ 

tan p = — ^ — ; or tan 6 = — • 
N A 



tan 6' = sii^^(2 + ^) ^ 2.314 sin ^ . ^^^ ^, ^ J" +/ . 

N N ' ^' A ' 

ga =. 90° - (a, + fi) ;g,= 90° - (6V, + fi) 
/i = a— p' (See Note, page 46. ) 



A=^(5.). 


* & 


.- N 




2 P sin or 




A- A 


y- " 


COS p' 


2 P sin a cos /3' 


A- i"^' 

sin {a + /?) 


cos /? 


P- N 




2 A sin <a: 




, N N 
d= — or = _ 


^' d' - d+ 2 a 
n 


2 ^ = 2 j- cos a 


{See pages 78 to 81,) 



b = at2.xya i'^fo-'gear = Mor pinion 
( a for pinion = <? for gear 

P = _5_ P'= ^ 

P' P 

^ = — = — = .3183 P' ^ = Atany^ 

P 7t 

s +f= .3685 P' J +/= Atany^' 

2 2 P 

F = 4 + ^ or = 2P' t0 3P' 



Note. — Formulas containing notations without the designating- letters a and b 
apply equally to either gear or pinion. If wanted for one or the other, the respective 
letters are simply attached. 



BROWN & SHARPE MFG. CO. 



BEVEL GEARS WITH AXES AT ANY ANGLE. 



Pinion 




FUj, 0. 



20 BROWN & SHARPE MFG. CO. 



FORMULAS. 



C = angle formed by axes of gears. 

^" "^ i- number of teeth -j ^^^^ 
Nj, = ) ( pinion. 

P = diametral pitch. 

P' = circular pitch. 

^l Z [ angle of edge = pitch angle | ^^^^^^^ 

y6> = angle of top. 
j3' = angle of bottom. 

^« ^ I angle of face -j ^?^^- 
gb= ) ^ I pmion. 

T.'* ~ >- cutting: ansfle -! ^. . * 
/ii, = ) & & j pinion. 

A = apex distance from pitch circle. 

A' = apex distance from large bottom of tooth. 

d = pitch diameter. 
d' = outside diameter. 
2a = diameter increment. 

^ = distance from top of tooth to plane of pitch circle. 

Note. — The formulas for tooth parts as given on page 14 apply equally to these cases. 



BROWN & SHARPK MFG. CO. 21 



tan a^ = — ; or cot «r„ = — — ^— — 4- cot C 

^+co3C N^sinC 

Na 

tan «'6 = ^r= ; or cot a^ = — — ; — - + cot C 

^ + cos C N^ ^^^ ^ 

Note. — The above formulas are correct only for values of C less than 90*^ 
If C is greater than 90°, consult page 23. 



^ 2 sm a yo S 

tan p = — ^^ ; or tan /3 = — ; 

tan /?- ^ ^^^ " 1'^^^ - "-'"V^ " ; tan ^' = '4^; 

N N A 

^^ =: 90° — (aa -\- fi) for Cases I and II. 

g-^ z=z /3, for Case III. 

£-a = 90°— (a, — /3) for Case IV. 

^,z=90°— (^5 +/?) 

h =^ oL — fi' {See page 46. ) 

A ^ 



A' = 



2 P sin « 

A 

cosy^' 



N N P' 
^ = — or =: 

P 7t 

for Cases I and II, 



' and pinions in Cases III and IV. 

d' = d, for gear in Case III. 

d' = d — 2 a, for gear in Case IV. 

2 ^ = 2 y cos 01 

^ = J sin « 

Note. — Formulas containing notations without the designating letters a and b 
apply equally to either gear or pinion. If wanted for one or the other, the 
respective letters are simply attached. 



22 



BROWN & SHARPE MFG. CO. 




BROWN & SHARPE MFG. CO. 23 



The formulas given for a^ and a^ (when C, N^ and Nj, are 
known) undergo some modifications for values of C greater 
than 90°. 

For bevel gears at any angle but 90° we may distinguish 
four cases ; C, N„, N^, being given. 

/. Case. See pages 19 and 21, 

//. Case. C is greater than 90°. 

sin (180 — C) ^ sin (180 — C 
tan a^-= ^ ^ ; tan a^ = 5^ 

_^-cos (180-C) S-"-^^^ (180-C) 

III. Case, a^ = 90° ; fl'5 = C — 90° 

IV. Case. 

sin E ^ sin E 

tan a^ 



cos E — -^ — ? — cos E 

For an example to apply to Case III., the following condi- 
tion must be fulfilled : 

N„ sin (C - 90°) = N, 

To distinguish whether a given example belongs to Case II. 
or case IV., we are guided by the following condition : 

T M • /r^ °\ J s^<^ll^^ than N^, we have Case II. 

is : JN, sin (u - 90 j I ^^^^^^ ^^^^ ^^^ ^^ ^^^^ ^^g^ jy^ 

Diameter Increment. 

The ratio being given or determined, to find the outside 
diameter, divide the figures given in table, pages 78 to 81, 
for gear and pinion by pitch (P) and add the quotient to the 
pitch diameter. 

Example. — Required, the outside diameters of a pair of 
bevel gears, 10 P, 35 T into 23 T. Referring to the table, 
the diameter increments are found to be for the gear i.io 
and for the pinion 1.67. 

i.io -i- 10 = . 1 10; 3.5 pitch diameter + .110^ 3-6io outside 
diameter of gear. 

J. 67 -^ 10 = .167 ; 2.3 pitch diameter + .167 = 2.467 outside 
diameter of pinion. 



24 BROWN & SHARPE MFG. CO. 



UNDERCUT IN BEVEL GEARS. 

By undercut in gears is understood a special formation of 
the tooth, which may be explained by saying that the elements 
of the tooth below the pitch line are nearer the center line of 
the tooth than those on the pitch line. Such a tooth outline is 
to be found only in gears with few teeth. In a pair of bevel 
gears where the pinion is low-numbered and the ratio high, we 
are apt to have undercut. For a pair of running gears this 
condition presents no objection. Should, howev^er, these gears 
be intended as patterns to cast from, they would be found use- 
less, from the fact that they would not draw out of the sand. 
We have stated on page lo (see Fig. i) that the base of our 
involute system is the 143^° pressure angle. If a pair of bevel 
gears with teeth constructed on this basis have undercut, we 
can nearly eliminate the undercut — and for the practical work- 
ing this is quite sufficient— by taking as a basis for the con- 
struction of the tooth outline a pressure angle of 20°. 

The question now is : When do we and when do we not 
have undercut ? Let there be : 

N = number of teeth in gear. 
n = number of teeth in pinion. 



nV N 



'^n^_^p 



N 
where we have undercut for/ less than 30. 

This formula is strictly correct for epicycloidal gears only. 
It is, however, used as a safe and efficient approximation for 
the involute system. 



Ch:af>te:r IV. 
WORM AND WORM WHEEL. 

CFig. 8.) 




26 BROWN & SHARPE MFG. CO. 

FORMULAS. 

L = lead of worm. 

N = number of teeth in gear. 

/« = turns per inch of worm. 

d= diameter of worm. 

d' = diameter of hob. 

T = throat diameter. 

B = blank diameter (to sharp corners). 

C = distance between centers. 

o = thickness of hob-slotting cutter. 

/= width of lands at bottom. 

d = pitch circumference of worm. 

7J — width of worm thread tool at end. 

w;=: width of worm thread at top and width of hob 
tool at end. 

P = diametral pitch. 

P^ = circular pitch for worm wheels or axial pitch for 
worms. 

D = pitch diameter of worm wheel. 

See figure 8. 

s = addendum and module. 
t = thickness of tooth at pitch line. 
/" = normal thickness of tooth. 
/= clearance at bottom of tooth. 
D" = working depth of tooth. 
D" + / = whole depth of tooth. 

6 = angle of tooth of worm wheel with its axis, or the 
angle of thread of worm with a line at right angles to its axis. 
If the lead is for single, double, triple, etc., thread, then 

L = F, 2 F, 3 P', etc. 
In multiple threaded worms and their mating wheels, if 
the angle (S is more than 15° the tooth parts should be 
figured on the normal as for spiral gears. In using the 
formulas for spiral gears, it should be borne in mind that 
while P' is the axial pitch for worms it is the circular pitch 
for spiral gears. 



;:} 



BROWN & SHARPE MFG. CO. 



27 



a - 


= 60° to 90 





-L 


_ I 
m 




P' 


N + 2 




D 


_ NP' _ 


N 
P 


T^ 


=s... 





d= Tt {d — 2 s) 



,, _ „ , Practical only when width of wheel on wheel pitch circle 
~ ~^ " not more than % pitch diameter of worm. 



o. _ L j Practic 

~ J i is 

r = /cos S 

r = - — 2 s 
2 

r' = r' -^ D" + / 



B 



= T + 2lr' -r' cos -) 



A measurement of sketch is generally 
sufficient. 



d' = d + 2f 

z;=.3iP' 

^^ -335 P' 



Note.— The notations and formulas referring to tooth parts, given on page 14 for 
spur gears, apply to worm wheels, and are here used. 

Note. — Hob and worm should be marked, as per example : 
4 turns per i'' single .25 P'; .25 L. 
2 turns per i" double .25 P'; .50 L. 



28 



BROWN & SHARPE MFG. CO. 



UNDERCUT IN WORM WHEELS. 

In worm wheels of less than 30 teeth the thread of the worm 
(being 29°) interferes with the flank of the gear tooth. Such 
a wheel finished with a hob will have its teeth undercut. To 
avoid this interference two methods may be employed. 

First Method. — '^dik.^ throat diameter of wheel 



T = cos' i4>^° + 4 J 



or 



T = 



.937 N 



+ 4^ 



This formula increases the throat diameter, and conse- 
quently the center distance. The amount of the increase can 
be found by comparing this value of T with the one as obtained 
by formula on page 27. To keep the original center distance, 
the outside diameter of the worm must be reduced by the 
same amount the throat diameter is increased. 

Second Method. — Without changing any of the dimensions 
we found by the formulas given on page 2 7, we can avoid the 
interference to be found in worm wheels of less than 30 teeth 
by simply increasing the angle of worm thread. We find the 
value of this angle by the following formula : 
Let there be 

2 y = angle of worm thread. 

N = number of teeth in worm wheel. 



cos y 



= /. 



From this formula we obtain the following values : 

N 



2 y 

N 



y 



29 

30X 


28 


27 


26 25 24 23 


22 


21 


20 


31 


31/2 


1" ~ 

32K32^33>^34K 


35 


36 


37 



9 I' 



38 I 39 



17 ' 16 



40 



4i>^ 



15 ' 14 



42^144 >^ 



13 



46 K 



48 



As this latter formula involves the making of new hobs in 
many cases, on account of change of angle, we prefer to reduce 
the diameter of worm as indicated by first method, if the dis- 
tance of centers must be absolute. 



CHAPTER V. 



SPIRAL OR SCREW GEARING. 

(Figs. 9, 10, 11.) 




Fig, 9, 

RIGHT HAND SPIRAL GEARS. 

In Spiral gearing the wheels have cylindrical pitch surfaces, 
but the teeth are not parallel to the axis. The line in which 
the pitch surface intersects the face of a tooth is part of a 
screw line, or helix, drawn at the pitch surface. A screw 
wheel may have one or any number of teeth. A one-toothed 
wheel corresponds to a one-threaded screw, a many-toothed 
wheel to a many- threaded screw. The axes may be placed at 
any angle. 

Consider spiral gears with : 

I. Axes parallel. 
II. Axes at right angles. 
III. Axes any angle. 



30 



BROWN & SHARPE MFG. CO. 




Fig. 10. 

LEFT HAND SPIRAL GEAR. 



Let there be : 

n" = i '^^"^ber of teeth in gears \ f 



C = center distance. 

P' = circular pitch (circumferential not axial). 
P" = normal diametral pitch. 
P'" = normal circular pitch. 

y = angle of axes. 

Lj = exact lead of spiral on pitch surface. 
L^ = approximate lead of spiral on pitch surface. 

T = number of teeth marked on cutter to be used when 
teeth are to be cut on milling machine. 

D = pitch diameter, 

B = blank diameter. 

" = (■ ^"§1^ of teeth with axis 

/ = thickness of tooth. 
s = addendum and module. 
D" + / = whole depth of tooth. 

Note. — Letters a and 6 occurring; at bottom of notations refer to gears a and d. 

I. — Axes Parallel. 
Gears of this class are called twisted gears. The angle of 
teeth with axes in both gears must be equal and the spirals 
run in opposite directions. The angles are generally chosen 
small (seldom over 20°) to avoid excessive end thrust. End 
thrust may, however, be entirely avoided by combining two 
pairs of wheels with right and left-hand obliquity. Gears of 
this class are known as Herringbone gears. They are com- 
paratively noiseless running at high speed. 



BROWN & SHARPE MFG. CO. 3 1 

II. — Axes at Right Angles. 
Here we must always have : 

1. The teeth of same hand spiral ; 

2. The normal pitches equal in both gears ; and 

3. The sum of the angles of teeth with axes = 90°. 

Choosing Angle of Teeth with Axes. 

1. If in a pair of gears the ratio of the number of teeth is 
equal to the direct ratio of the diameters, /. e.^ if the number of 
teeth in the two gears are to each other as their pitch diame- 
ters, then the angles of the spirals will be 45° and 45° ; for, this 
condition being fulfilled, the circular pitches of the two gears 
must be alike, which is only possible with angles of 45°. In 
such a combination either gear may be the driver. 

2. If the ratio of the diameters determined upon is larger 
or smaller than the ratio of the number of teeth, then the 
angles are : 



tan a„ = — — - tan a 



In such gears the velocity ratio is measured by the number 
of teeth, and not by the diameters. 
3. Given N^, N,, and C : 

If P„' is made = P,,', then we have case " i " and 
p^ _ 7r C 

But if Pa' is assumed, then : 



P.' = 



/2N, 

and 

P ' P ' 

tan a^ = ^ tan af, = -±^ 

The gear whose P' or a is larger will ordinarily be the 
driver, on account of the greater obliquity of the teeth. 

4. Given N^, Nj, and C or D. 
See case " 7 " under III., considering y = 90°. 

III. — Axis at any Angle {y). 

5. Given case " i," under II., then angles of spirals =z }4 y, 
for the same reason. 

6. Analogous cases to "2" and "3," under II., may be 
worked out, when angles of axes = y, but they have been 



32 



BROWN & SHARPE MFG. CO. 



omitted, partly because the formulas are too cumbersome, and 
partly because they are to some extent covered by cases "5 " 
and "7." 

7. Given N^, N^, and C, or one of the pitch diameters. We 
find the angles by a graphic method, which for all practical 
purposes is accurate enough ; ro and v are the axes of gears 
forming angle ;/ (see diagram, Fig. 11.) On these axes we 
lay off lines r and o v representing the ratio of the number 
of teeth (velocity ratio), so that N„ : N,, : : r .$• : j z^, and 




Fig, 11. 



construct parallelogram o r s v. Then, according to Mc- 
Cord,* the angles formed by the tangent ^ ^ in the pitch con- 
tact with the axes of the gears insures the least amount oj 
sliding. In bisecting angle y by tangent u o and using angles 
produced in this manner we equally distribute the end thrust on 
both shafts. Both methods have their advantages ; to profit 
by both we select angles a^ and a^^ produced by tangent o x^ 
bisecting angle u s. 

Thus we have when angles are found and C given, 

2 C TT cos a^ cos O'ft 



p'w 



and when D^ given 



Na COS a^ ■\- Nj, cos a^ 
D„ n cos a„ 



D. = 



n cos a^ 



and 



* McCord, Kinematics, page 278. 



brown & sharpk mfg. co. 33 

General Formulas. 






TT TT COS a 

B = D + 2^ or = D + _L 

p» 

P' =— or = 



N cos a 

P'" = P' cos a 

P« = ^ (Pitch of cutter.) 

pm J 

s = — or =— - 

TT P» 

/ = — 

2 

10 

N 



T = 



cos "Of 



(See Not€ i.) 



tan a P tan «f ( L16 = N^ Fa 

Lj = — ' (6"^^ iV<j7/^ 2 <7;/<:/ examples.) 

S G, 

cos 45° = 7071 1 
cos^45°= .3535 



No. 5 cutter for T from 


21 to 25 


It ^ t( t( <( 


17 to 20 


u 7 .. .. a u 


14 to 16 


u 8 4i a i4 44 


12 to 13 



tan 45° = 1.000 

Note i. — Cutters of regular involute system 
Use No. 1 cutter for T from 135 up. 

4. 2 " "^" " 55 to 134 

U 3 .4 u .4 .4 3- to 5^ 

" 4 " " " " 26 to 34 

Note 2. — Gears used on spiral head and bed for Brown & Sharpe milling 
machine : 

W = number of teeth in gear on worm. 
Gi = •' " ist " stud. 

Gg = '* " 2d " stud. 

S = " " " screw. 

Should a spiral head of different construction be used, the formula might not 
apply. 



34 



BROWN & SHARPE MFG. CO. 



The following data are usually required in cutting spiral 
gears in a Universal Milling Machine, and it will be found 
convenient to arrange them in tabular form as follows : 



GEAR. 



PINION. 



No. of Teeth --------- 

Pitch Diameter --------- 

Outside Diameter 

Circular Pitch - - 

Angle of Teeth with Axis 

Normal Circular Pitch 

Pitch of Cutter - - - - 

Addendum s --------- 

Thickness of Tooth t ----- - 

Whole Depth D^'+f - 

No. of Cutter - - 

Exact Lead of Spiral 

Approximate Lead of Spiral - - - - 

Gears on Milling Machine to Cut Spiral 
Gear on Worm --------- 

ist Gear on Stud -------- 

2nd Gear on Stud -------- 

Gear on Screw --------- 



If the exact lead Li can be obtained by the gears at hand, 
Li will equal Lo and we shall have from the formula 
_ "lo W G, 



10 

Example I. 



S Gi 
W G, 



g-^ (for B. & S. Milling Machine.) 



Required the gears for cutting a spiral of 2^" lead. 

2j I 

-- = - factoring, in the most simple way, we have 

i _ ^ X I _ I X 28 _ 32 X 28 _ W G, 
4 2x2 56 X2 56x64 S Gi 



BROWN & SHARPE MFG. CO. 35 

Thus the gearing will be 32 T. on worm, 64 T. ist. on stud, 
28 T. 2nd on stud, and 56 T. on screw. 

Trying these gears on the Milling Machine we find that 
they cannot be used, and as we have no other regular gears 
in the ratio of 2 to i that can be used we must try, by factor- 
ing, to get such ratios for the two pairs of gears as to be able 
to use the gears at hand, bearing in mind that the combined 
ratio must be J. 

I 18 3x6 24 X 6 24 X 48 

4 ~ 72 ~ 9x8 ~ 9 X 64 ~~ 72 X 64 

These gears are at hand and the combination can be used 
on the machine, giving the exact lead of 2^". 

Example II. 

Required the gears for cutting a spiral of 8.639" lead. 

8,639 = Sj%W ; reducing, by continued fractions, to a 
smaller fraction of approximately the same value, as described 
on pages 50 and 5 i 



639 ) 1000 ( I 
639 

361 ) 639 ( I 
361 

278 ) 361 ( I 
278 

~^) 278 ( 3 
249 

29 ) 83 ( 2 
58 



25 ) 29 ( I 

25 



4)25(6 
24 



)4(4 
4 





BROWN 


& SHARPE 


MFG. CO. 




I 


I I 


3 2 


I 6 


4 


i 


i 1 


t\ M 


If m 


tVA 



3^ 



Selecting if as an approximation near enough for our 
purpose, and in fact as near as we are likely to find gears for, 
we have for our lead S^f . Applying the formula as in Ex- 
ample I. 



8*1 




W G, 




10 




S Gi 




10 


= 


2l6 

250 ~ 


108 
125 


9X 


12 

~1 


9x48 


25 X 


100 


X 5 



factoring we have 

= 100 X 40 ^^^ ^^^'' required, 
these being regular gears furnished with the Milling Machine. 

Proof: 

72 X 48 X 10 _ ^ _ 
= 8.640 = L2 

100 X 40 o ^ T 

8639 = Li 
.001'^ error in lead. 

In shops where much work is done in milling spirals it is 
desirable to have a full set of gears for the milling machine, 
from the smallest to the largest numbers of teeth that can be 
used. This makes it possible, in most cases, to get closer 
approximations than could be otherwise obtained, and often 
saves a great deal of figuring. 

When the use of continued fractions does not bring a 
close enough approximation, one method to secure a closer 
result is to add to or substract from the numerator and de- 
nominator of the fraction to be reduced, any numbers nearly 
in proportion to the given fraction, seeing that the numbers 
added or substracted are such as to make the fraction reduc- 
ible to lower terms. By a little ingenuity and patience ex- 
tremely close approximations can generally be reached in 
this way. 

Take, as an illustration, the fraction in Example II. 



'TOGO 



8639 



10 I 0000 

Adding 9 to the numerator and 10 to the denominator, these 



BROWN & SHARPE MFG. CO. 37 

being in about the same ratio to each other as the numerator 
and denominator of the fraction, we have 

8639+9 = 8648 _ 4324 _ 47 X 92 
10000+10 = looio 5005 55 X 91 

All of the gears in this case are special. 

Applying the same proof as in Example II. we find that 
this train of gears will give a lead of 8.6393 -h, making an 
error of .0003'' in the lead. 

No doubt a much closer approximation even than this 
could be obtained by further trial. 

Another method is to multiply both terms of the fraction 
by some number which will make one term of the fraction 
easily reducible, and adding one to or subtracting it from the 
other term to make it possible to reduce that also. 

There is an element of uncertainty in both these methods, 
as we never feel sure that we have obtained the best combina- 
tion ; practical work, however, rarely requires accuracy beyond 
a point that can readily be reached. 

The tables of prime numbers and factors, pages 121 to 
155, will be found convenient in reducing and factoring 
fractions. These tables are condensed as much as possible 
and give all numbers from i to 10,200. 



CHAPTKR VI. 

INTERNAL GEARING. 

PART A.— INTERNAL SPUR GEARING. 
(Figs. 12, 13, 14, 15, 16.) 

A little consideration will show that a tooth of an internal 
or annular gear is the same as the space of a spur — external 
gear. 

The epicycloidal form of tooth is preferable for internal 
gears, as there is less difficulty in overcoming the inter- 
ferences. The involute form of tooth can be used by 
changing the pressure angle beyond the limit of inter- 
ference. Special constructions are required when the differ- 
ence between the number of teeth in gear and pinion is 
smalL 

In using the system of epicycloidal form of tooth in 
which the gear of 15 teeth has radial flanks, this difference 
must be at least 15 teeth, if the teeth have both faces and 
flanks. Gears fulfilling this condition present no difficulties. 
Their pitch diameters are found as in regular spur gears, and 
the inside diameter is equal to the pitch diameter, less twice 
the addendum. 

If, however, this difference is less than 15, say 6, or 2, or i, 
then we may construct the tooth outline (based on the epicy- 
cloidal system) in two different ways. 

First Method. — To explain this method better, let us sup- 
pose the case as in Fig. t2, in which the difference between 
gear and pinion is more than 15 teeth. Here the point o of 
the describing circle B (the diameter of which in the best 
practice of the present day is equal to the pitch radius of a 15 
tooth gear, of the same pitch as the gears in question) gene- 
rates the cycloid o, o', o'^, o^, etc., when rolling on pitch circle 
L L of gear, forming the face of tooth ; and when rolling on 
the outside of L L the flank of the tooth. In like manner is the 
face and flank of the pinion tooth produced by B rolling out- 
side and inside of E E (pitch circle of pinion). A little study 



BROWN & SHARPE MFG. CO. 



39 



of Fig. 12 (in which the face and flank of a gear tooth are 
produced) will show the describing circle B divided into 12 




equal parts and circles laid through these points (i, 2, 3, etc.), 
concentric with L L. We now lay off on L L the distances 
o-i, 1-2, 2-3, etc., of the circumference of B, and obtain points 



40 



BROWN & SHARPE MFG. CO. 



i\ ^\ 3\ etc. [Ordinarily it is sufficient to use the chord.] It 
will now readily be seen that B in rolling on L L will success- 
ively come in contact with i', 2', 3', etc., c meanwhile moving 
to c\ c^, c^, etc. (points on radii through i\ 2\ 3', etc.), and the 
generating point o advancing to o\ o\ o^, etc., being the inter- 
sections of B with c\ c^^ ^', etc., as centers and the circles laid 
through I, 2, 3, etc. Points o, o\ o', o^, etc., connected with a 
curve give the face of the tooth ; in like manner the flank is 
obtained. 

In this manner the form of tooth is obtained, when the 
difference of teeth in gear and pinion is less than 15, with the 
exception that the diameter of describing circle B 



/ Na — Nb \ 



where P = diametral pitch, Na and Nb number of teeth in 
gears. 

The distances of the tooth above and below the pitch line 
as well as the thickness / are determined as in regular spur 
gears by the pitch, except when the difference in gear and 
pinion is very small, where we obtain a short tooth, as in Figs. 
13 and 14. In such a case the height of tooth is arbitrary and 
onty conditioned by the curve. In internal gears it is best to 
allow more clearance at bottom of tooth than in ordinary spur 
gears. 




so Teeth 



A.^ 



Fig. 13. 



12 T. 



8 P. 




In a construction of this kind it is suggested to draw the 
tooth outline many times full size and reduce by photography. 
An equally multiplied line A B will help in reducing. 



BROWN & SHARPE MFG. CO. 



41 




42 BROWN & SHARPK MFG. CO. 

Second Method. — The difference between gear and pinion 
being very small, it is sometimes desirable to obtain a smooth 
action by avoiding what is termed the " friction of approach- 
ing action."* This is done, the pinion drivings by giving gear 
only flanks, Fig. 15, and the gear driving^ by giving gear only 
faces, Fig. 16. In both these cases we have but one describ- 
ing circle, whose diameter is equal to the difference of the two 
pitch diameters. The construction of the curve is precisely 
the same as described under A. The describing circle has 
been divided into 24 parts simply for the sake of greater 
accuracy. 



PART B.— INTERNAL BEVEL GEARS. 

(Fig. I7-) 

The pitch surfaces of bevel gears are cones whose apexes 
are at a common point, rolling upon each other. The tooth 
forms for any given pair of bevel gears are the same as for a 
pair of spur gears (of same pitch) whose pitch radii are equal to 
the respective apex distances of the normal cones (/. ^., cones 
whose elements are perpendicular upon the elements of the 
bevel gear pitch cones). (Compare Fig 19, page 45.) 

The same is true of internal bevel gears, with the modifica- 
tion that here one of the pitch cones rolls inside of the other. 
The spur gears to whose tooth forms the forms of the bevel 
gear teeth correspond, resolve themselves into internal spur 
gears (Fig. 17). The problem is now to be solved as indicated 
in the first part of this chapter. 



* McCord, Kinematics, pages 107, 108. 



BROWN & SHARPE MFG. CO. 



43 



8 JR. 
Gear 40 Teeth 
Pinion 20 Teeth 




Fig. 17. 



CHAPTER VII. 

DIMENSIONS AND FORM FOR BEVEL GEAR 

CUTTERS. 

(Fig. 19.) 

The data needed to determine the form and thickness of a 
bevel gear cutter are the following : 
P = pitch. 

Na = number of teeth in gear. 
Nb = number of teeth in pinion. 
F = length of face of tooth, measured on pitch line. 
After having laid out a diagram of the pitch cones a b c and 
a b f^ and laid off the width of face, the problem resolves itself 
into two parts : 

Part I. — Determine Proper Curve for Cutter. 
It will be remembered that in the involute system of cutters 
(the only one used for bevel gears that are cut with rotary 
cutter), a set of eight different cutters is made for each 
pitch, numbering from No. i to No. 8, and cutting from 
a rack to 12 teeth. Each number represents the form of 
a cutter suitable to cut the indicated number of teeth. For 
instance. No. 4 cutter (No. 4 curve) will cut 26 to 34 teeth. 
In order to find the curve to l^e used for gear and pinion 
we simply construct the normal pitch cones by erecting 
the perpendicular p q through b, Fig. 19. We now measure the 
lines b q and b p^ and taking them as radii, multiplying each by 
2 and P we obtain a number of teeth for which cutters of 
proper curves may be selected. From example we have : 

Gear : b q — 9^" ; 2 X P X 9.75 = 98 T No. 2 curve. 

Pinion: b p = 3^" ; 2 X P X 3.5 = 35 T No. 3 curve. 
The eight cutters which are made in the involute system 
for each pitch are as follows : 

No. I will cut wheels from 135 teeth to a rack. 



' 2 








55 


(< 


<( 


134 


teeth. 


' 3 








35 


« 


u 


54 




' 4 








26 


(( 


<( 


34 




' 5 








21 


(( 


(( 


25 




* 6 








17 


« 


<( 


20 




' 7 








14 


u 


u 


16 




' 8 




i( 


« 


12 


« 


u 


13 





BROWN & SHARPE MFG. CO. 



45 




46 BROWN & SHARPE MFG. CO. 

Part II. — Determine Thickness of Cutter. 

It is very evident that a bevel gear cutter cannot be thicker 
than the width of the space at small end of tooth ; the practice 
is to make cutter .005" thinner. Theoretically the cutting angle 
{h) is equal to pitch angle less angle of bottom (or h = a — /?'). 
Practically, however, better results are obtained by making 
h= a — ^ (substituting angle of top for angle of bottom), and 
in calculating the depth at small end, to add the full clearance 
(/) to the obtained working depth, giving equal amount of 
clearance at large and small end. This is done to obtain a 
tooth thinner at the top and more curved. As the small end 
of tooth determines the thickness of cutter, we shall have to 
find the tooth part values at small end. From the diagram it 
will be seen that the values at large end are to those at small 
end as their respective apex distances {a b and a I). The 
numerical values of these can be taken from the diagram and 
the quotient of the larger in the smaller is the constant where- 
with to multiply the tooth values at large end, to obtain those 
at small end. In our example we find : 

For 5 P we have : 





.655 = 


= constant 


^'=.3141 






r = .2o57 


S = .2COO 






/ = .i3io 


/=.o3i4 






/=o3i4 


s +/=.23i4 




/ 


+ /=.i624 


"+/=.43i4. 






/ = .T3IO 






D" 


+ /=.2934 



From the foregoing it is evident that a spur gear cutter 
could not be used, since a bevel gear cutter must be thinner„ 

If in gears of more than 30 teeth the faces are proportion- 
ately long, we select a cutter whose curve corresponds to the 
midway section of the tooth. The curve of the cutter is found 
by the method explained in Part I. of this Chapter. 



BROWN & SHARPE MFG. CO. ^y 

' PART III.- SELECTION OF CUTTERS. 
The tables, pages 94 and 95, are convenient for selecting 
cutters for cutting bevel gears and are those used in furnish- 
ing cutters from stock. The various numbers of teeth in 
gear and pinion are given and at the intersection of the two 
columns will be found the numbers of cutter required. 

Example — Required cutters for a pair of bevel gears, 
8 pitch; gear 24 teeth, pinion 12 teeth. 

In column at left of table, page 94 will be found 24 
teeth and in column at top 12 teeth; at the intersection 
of these two columns is found the number of the cutters, in 
this case No. 3 for the gear and No. 8 for the pinion, 
feeth^a?^ Different methods are employed to compromise in the 
end^°^* cutting of a bevel gear. When a blank is rotated in adjust- 
ing to finish the large end of the teeth, there need not be 
much filing of the small end, if the cutter is right, for a given 
pitch circle, but the tooth faces may be rather thin at the 
large ends. This compromise is usually preferred, as it 
does not require much filing of the teeth ; it is the same as 
given in the general catalogue issued by Brown & Sharpe 
Mfg. Co. and is used by them to fill any order for bevel 
Selection gear cutters, unless the number of the cutter is specified in 

of cutter ^ ' ^ 

ri^^^^K^*^ the order. This means that a customer would receive a No. 

are to be 

filed. g^ 8-pitch bevel gear cutter in reply to an order for a 

cutter to cut a 12-tooth pinion, ^2" face, while in their 
own gear cutting department the same pinion might be 
cut with a No. 6, 8-pitch cutter, because it is pre- 
ferred to file the teeth at the small end after cutting 
them to the right thickness at the faces of the large end. 
No. 6 instead of a No. 8 would be taken only for a 12-tooth 
pirHon that is to run with a gear two or three times as 
large. In the gear cutting department of Brown & Sharpe 
Mfg. Co. it is the general practice to step off to the next 
cutter for pinions fewer than 25 teeth, when the number for 
the teeth has a fraction nearly reaching the range of the 
next cutter: thus, if twice the back cone radius in inches, 
multiplied by the diametral pitch, equals 20.9, a No. 5 
cutter should be used, which is for 21 to 25 teeth inclusive. 
In filling an order for a gear cutter, the fraction is not con- 
sidered, but the cutter indicated by the whole number is 
sent. 



48 



BROWN & SHARPE MFG. CO. 



PART IV.— SELECTING CUTTERS BY USE OF BACK CONE RADIUS. 




Measure the back cone radius a h for the gear, ox b c for 
the pinion. This is equal to the radius of a spur gear, the 
number of teeth in which would determine the cutter to use. 

Rule. — Multiply the back cone radius by 2 and the 
product by the diametral pitch; the resulting product is the 
number of teeth for which to select the cutter. 

Example. — Let the back cone radius (2 3 = 4'' and the 
diametral pitch = 8. 2X4=8,8X8 = 64, the number 
of teeth for w^hich the cutter should be selected, which in 
this case would be a No. 2 Cutter. 



CHAPTER VIII. 

THE INDEXING OF ANY WHOLE OR FRACTIONAL NUMBER. 
—DIFFERENTIAL INDEXING. 

(Fig. 21 ) 




Chnnge Gear 

Fig. 21. 



In indexing on a machine the question simply is : How 

many divisions of the machine index have to be advanced to 

advance a unit division of the number required. To which 

is the 

divisions of machine index 

answer = — ^— 

number to be mdexed 

Suppose the number of divisions in index wheel of machine 
to be 216. 

Example I. — Index 72. 

Answer: 216 , ^ r . 

— ^Z (3 turns of worm). 

72 



50 



BROWN & SHARPE MFG. CO. 



Example II. — Index 123. 



21^ _ I _^ _93 
123 123 

If now we should put on worm shaft a change gear having 
123 teeth, give the worm shaft, Fig. 21, one turn, and in addi- 
tion thereto advance 93 teeth of the change gear (to give the 
fractional turn), we would have indexed correctly one unit of 
the given number, and so solved the problem. Should we not 
have change gear 123 we may try those on hand. The ques- 
tion then is : How many teeth (x) of the gear on hand (for 
instance 82) must we advance to obtain a result equal to the 
one when advancing 93 teeth of the 123 tooth gear? We have : 

-^ = A. where ;^ = 62 
123 82 

Example III. — Index 365, change gear 147. 

2 T 6 y "? 

— = ^L where x = ^7 — -^ 

365 147 365 

Here 147 is the change gear on hand. In indexing for a unit 
of 365 we advance87teeth of our 147 tooth gear. It is evident 
that in so doing we advance too fast and will have indexed 
three teeth of our change gear too many when the circle is 
completed. To avoid having this error show in its total amount 
between the last and the first division, we can distribute the 
error by dropping one tooth at a time at three even intervals. 

Example IV. — Index 190. 

216 _ , 26 

7^ — ^ + — ^ Change gear on hand 88 T 

26 y , ,8 

= jL where j = 1 2 + 

190 88 190 

To distribute the error in this case we advance one additional 
tooth ot a time of the change gear at eight even intervals. 

Example V. — Index 117.3913. 

216 _ 986087 

117-3913" 1173913 

This example is in nowise different from the preceding 
ones, except that the fraction is expressed in large numbers. 
This fraction we can reduce to lower approximate values, 
which for practical purposes are accurate enough. This is 
done by the method of continued fractions. [For an explana- 



BROWN & SHARPE MFG. CO. 5 1 



tion of this 


method we refer to our " Practical Treatise on 


Gearing."] 






986C87 




I I 73913 


986087) 1173913 (I 




986087 




187826) 986087 (5 




939130 




46957) ^87826 (3 




14087 I 




46955) 46957 Ci 




46955 




2) 46955 (23477 




46954 




I) 2 (2 




2 









986087 ^ 




";39i3 , ^ , 




54-1 




3 + 1 




i + i 




23477 + I 
2 


I" 


5 C=T, 1 23477 2 


<7 = I 


/^ = 5 d = 16 21 493033 986087 


a^ =^ 1 


b' =z 6 d' — ig 25 586944 11739^3 


Note.— Find the first two fractions by reduction ^ =x - and — — — = - ; the 




5 



others are then found by the rule J <^ <^ + ^ - ^ 

\ b^ c + a"- =d'- 



The fraction |^ is a good approximation; putting therefore 
a change gear of 25 teeth on worm shaft, we advance (beside 
the one full turn) 21 teeth to index our unit. 

Of course, in using any but the correct fraction we have an 
error every time we index a division ; so that when indexed 
around the whole circle, we have multiplied this error by the 
number of divisions. 

In the present example this error is evidently equal to the 
difference between the correct and the approximate fraction 
used. Reducing both common fractions to decimal fractions 
we have : 

-? '— =: .84000006 

II73913 

21 

= . 84000000 



25 



.00000006 = error in each division. 



5 2 BROWN & SHARPE MFG. CO. 

.00000006 X 1 1 7.3913 = .00000704348 total error in complete 
circle. This error is expressed in parts of a unit division. (To 
find this error expressed in inches, multiply it by the distance 
between two divisions, measured on the circle.) In this case 
the approximate fraction being smaller than the correct one, 
in indexing the whole circle we fall short .00000704348 of a 
division. 



Example VI.- 


— Index 15.708 




216 _ J, _^ 11796 




15.708 ^ ' 15708 




ii796_ 983 




15708 1309 




983) 1309(1 




983 




326) 983 (3 




978 




5)326(65 ' 




30 




26 




25 




1)5(5 




5 









983_, 




^309 , ^% 




3+1 




65 + 1 




5 




I 3 65 5 




I 3 196 983 




I 4 261 1309 



In using the approximation ^f the error for each division 
(found as above) will be .000002927, for the whole circle 
.0000460. In this case, the approximation being larger than 
the correct fraction, we overreach the circle by the error. 



BROWN & SHARPE MFG. CO. 53 



DIFFERENTIAL INDEXING. 



The gearing of the spiral head spindle of a Milling 
Machine to the index plate is equivalent to increasing the 
spacing numbers of the machine, as the rotation of the index 
plate modifies the movement of the index crank at each 
indexing. 

When this modification is employed, the indexing is 
known as Differential Indexing, 

Usually the regular spacing number of a Milling 
Machine is 40. 

V = number of turns of the index plate to one turn of 
the spindle = the train of gears, either simple or compound 
geared.* 

N = number of divisions required. 
■ h = number of holes in index plate circle to be used. 

n = number of holes taken at each indexing. 

Then -f- = number of turns of the index crank at each 
h 

indexing in relation to the index plate. 

40 — V =: spacing number when the index plate rotates 
in the same direction as the crank, using one idler. 

40 + V = spacing number when the index plate rotates 
in the opposite direction to the crank, using two idlers. 

When compound gearing is employed, the two gears on 

the gear stud act as one idler in relation to the direction that 

the index plate rotates. 

Nn 

-^i — = number of turns of the crank in N indexins^s, when 
h ^ 



plate is held stationary. In ordinary indexing — — = 40. 
In Differential Indexing, — r— is increased or decreased by 



Nn 
1 ordinary indexing - 

Nn 

IT 

the rotation of the index plate while turning the index 

*That is, V = the product of the driving gears divided by the product of the 
driven gears. The gear on the spiral head spindle and the first gear on the stud are 
drivers ; the second gear on the stud and the gear on the worm are driven. 



54 BROWN & SHARPE MFG. CO. 

crank. -7- denotes in all cases the turns of the crank in 
h 

relation to the index plate. 



^'" u • -^1 ^ Nn . , 

V = 40 r— , when using one idler and — r— is less 

than 40. 

w Nn ^ . .^, ^ Nn . 

V = — 40, when using two idlers and — r— is greater 

than 40. 

40 -V 

h 



N = n or N := (40 — V) — , using one idler. 

. IT 

40 + v 



N = n or N = (40 4- V) — , using two idlers. 
IT "" 

To figure a table of different divisions, N, it is convenient 
to assume various ratios, V, and find divisions obtainable 
from the spacing numbers 40 — V and 40 + V. Assuming 

different values for -r- . 
h 

Assuming V = i , 40 — V := 39, one spacing number, em- 
ploying one idler. With this, divisions can be obtained that 

are composed of any of the factors of 39 divided by -j— , or 

h 
^^ n 

Examples.— Spacing number 39. 

n=i, h=:5; N = 39X^= 195. 

11=1, h = 7; N=: 39X-p= 273. 

17 
n = 3, h=:i7; N = 39X— = 221 

The other spacing number, when V = i, is 40 + i ^ 41. 
As 41 is prime, aliquot divisions can be obtained only by 

giving a value of i or 41 to n, when -r- is in its lowest terms. 



BROWN & SHARPE MFG. CO. 55 

Examples.— Spacing number 41. 

49 
n = I, h=:49. N = 4iX — = 2009. 

17 
n:=4i,h=i7. N = 4iX — = I7. 

41 ' 

FRACTIONAL SPACING NUMBERS. 

If V is a fraction, the spacing number is fractional, 

2 I 

Assuming V = — , 40 — V= 39 — , one spacing number 

employmg one idler. 39 — = ■. 

Examples. — Spacing number 39 — . 

11= I, h = 3; N = X-^= 118. 

3 I 

118 3 
n = 2, h = 3; N=: — X— = 59. 

n = 2,h=i5; N= -X-^ = 295. 

3 2 

2 2 
The other spacing number, when V = — , is 40 H = 

2 122 

40 — = , usmr^ two idlers. 

3 3 ^ 

Examples. — Spacing number 40 — . 

122 ^ 

n = I, h = 3; N = X-^= 122. 

3 I 

122 7,2 
n==i, h==33; N = — X^=i342. 

N given to find V; In this case -r- must be assumed. 

Nn Nn 
The formula, V = 40 r— or V = — r 40 can be 

used in solving for V. First find -r- that will give a number 

of divisions approximating N ; this assumed number is . 



eg BROWN & SHARPE MFG. CO. 

Example i. 

N = 59. Required -r- and V. 

Try -r- for 60 divisions = ^r- = — . In this case 
h 60 3 

Nn 59 X 2 I , . , . , , , , r 

— ; — = = 39- — , which IS less than 40 and the formula 

h 3 3 ^ 

N" • ^ 

V = 40 z — is used. 

h 

r Q N/ 2 2 

40 = — , therefore in 59 indexings the crank 

2 
will still require — of a turn to complete the 40 necessary 

2 
for one revolution of the spindle : The train or V = — 

^ 3 

2 
and the gear on the spindle must have — the number of 

teeth in the gear on the worm, using one idler. 

Example 2. 

N = 319. Required -r- and V. 

n ... 4 

Try -f— for 290 divisions = — . 
^ h ^ 29 

Nn 
In this case — r— is greater than 40 and using the formula 

Nn 

V = _-4o. 

3 19 X 4 

— 40 = 4. V = 4 and the index plate must 

turn in the opposite direction to the crank. 

When the ratio is not obtainable with simple gearing, it 
can sometimes be obtained with compound gearing. 

4 , A f u 3X4 72 X64 

— can be expressed as follows : — ~— or — — ~ for 

I ^ I X 3 24 X 48 

which there are available gears. 



BROWN & SHARPE MFG. CO. 57 

When the assumed number is less than N, the formulas 

,. Nn , ^ 

V = —r 40 can also be expressed in the form : 

V — -^ (N — ) and when greater than N, V = 40 — — 

n n j^ 

can be expressed V = — ( N). 

These formulas indicate that the gear ratio, V, can be 
obtained by multiplying the indexing, — , by the difference 

between the assumed number, , and the required num- 
ber, N. 

Spacing for quarter degrees. 

Example 3. — Required -r- and V for spacing — degree 
or 1440 divisions. 

Try—— = — and the assumed number is M20, 

V = n 40h. _ I ^120 

-7-(N ) (1440 — 1320) = . 

h ^ n 33 ^ ^^ ^33 

120 64 X 100 

V = or — . 

33 40 X 44 

Two idlers are required, one in addition to the gears on 
the compound gear stud. 

ALIQUANT OR FRACTIONAL SPACING. 

Example. — Required a Vernier to read to — degree 
or 5 minutes the scale being divided to degrees. 

Each Vernier space can equal — degree. 

11 I II 4320 . , , . , -8 
— X—^r- = or spaces m whole circle = 392 — 

12 360 4320 II ^ -^^11 

spaces. 

A " I 4oh 

Assume -;— = — or = 360. 

h 9 n -^ 



58 BROWN & SHARPE MFG. CO. 

I , 8 ^ ^ I 360 40 64 X 100 

V = — (392 360) = — X = — = -^ 

9 ^'^^ 1 1 ^ ^ 9 II II 40 X 44 • 

One idler in addition to the gears on the compound stud is 

necessary. 

If h contains a factor that is not found in the gears, V 
cannot usually be obtained, unless the factor is cancelled 
by the difference between N and the assumed number or 
unless N contains the factor. 

The index tables furnished with the Brown & Sharpe 
Universal Milling Machines give all divisions from i to 382. 
These divisions can all be obtained with the index change 
gears furnished with the machine. Divisions greater than 
382 can be calculated and with additional gears the number 
of obtainable divisions greatly increased. 

This method of indexing is covered by a patent controlled 
by Brown & Sharpe Mfg. Co. 



CHAPTER IX. 

THE GEARING OF LATHES FOR SCREW 
CUTTING. 

(Figs. 22, 23.) 

The problem of cutting a screw on a lathe resolves itself into 
connecting the lathe spindle with the lead screw by a train of 
gears in such a manner that the carriage (which is actuated by 




8itnpl<' (iraring. 

Fig. 22. 



6o 



BROWN & SHARPE MFG. CO. 



the lead screw) advances just one inch, or some definite dis- 
tance, while the lathe spindle makes a number of revolutions 
equal to the number of threads to be cut per inch. 

The lead screw has, with the exception of a very few cases, 
always a single thread, and to advance the carriage one inch it 
therefore makes a number of revolutions equal to its number 




Compound Gearing- 

Fig. 23. 



of threads per inch. Should the lead screw have double 
thread, it will, to accomplish the same result, make a number 
of revolutions equal to half its number of threads per inch. It 
follows that we must know in the first place the number of 
threads per inch on lead screw. 



BROWN & SHARPE MFG. CO. 



6i 



It ought to be clearly understood that one or more inter- 
mediate gears, which simply transmit the motion received from 
one gear to another, in no wise alter the ultimate ratio of a 
train of gearing. An even number of intermediate gears 
simply change the direction of rotation, an odd number do not 
alter it. 

The gearing of a lathe to solve a problem in screw cutting 
can be accomplished by 

A. Sim. pie gearing. 

B. Compound gearing. 

Referring to the diagrams, Figs. 22 and 23, we have in Fig. 
22 a case of simple, and in Fig. 23 a case of compound gear- 
ing. 

In simple gearing the motion from gear E is transmitted 
either directly to gear Ron lead screw or through the interme- 
diate F. In compound gearing the motion of E is transmitted 
through two gears (G and H) keyed together, revolving on the 
same stud n, by which we can change the velocity ratio of the 
motion while transmitting it from E to R. With these four 
variables E, .G, H, R, we are enabled to have a wider range of 
changes than in simple gearing. 

B and C, being intermediate gears, are not to 'pe considered. 
If, as is generally the case, gear A equals gear D, we disregard 
them both, simply remembering that gear E (being fast on 
same shaft with D) makes as many revolutions as the spindle. 
Sometimes gear D is twice as large as gear A, then, still con- 
sidering gear E as making as many revolutions as the spindle, 
we deal with the lead screw as having twice as many, threads 
per inch as it measures. 



SIMPLE GEARING. 

Let there be : the number of teeth in the different gears 
expressed by their respective letters, as per Fig. 22, and 

s = threads per inch to be cut, 
L = threads per inch on lead screw ; then 

I. ^ ^ ?: 

L K 



62 BROWN & SHARPE MFG. CO. 

If now one of the two gears E and R is selected, the other 
will be : 

L s 

2. The two gears may be found by making 

-p ~^ T [-where/ may be any number. 

3. The above holds good when a fractional thread is to be 
cut, but if the fraction is expressed in large numbers, as, for 
instance, s = 2.833 {2^-^^Q),we first reduce this fraction (yWo") to 
lower approximate values by the process of continued fraction 
(see pages 49 and 50). 



833) icoo (1 

833 

167) 8^3 (4 

165) 167 (I 
t6c 




2) 165 (82 
16 




"~5 
4 

1)2(2 
2 



I 


4 I 82 2 ' 


I 
I 


4 5 414 833 

5 6 497 1000 


5 _ 
6 


.833 (nearly) and s — 2^ 
6 


If in this case L = 


= 4, and we select E = 48, then, since 




K = q R = 34 



COMPOUND GEARING. 

4. In a lathe geared compound for cutting a screw the 
product of the drivers (E and H, Fig. 23) multiplied by the num- 
ber of threads per inch to be cut must equal the product of the 
driven (G and R) multiplied by the number of threads on lead 
screw. This is expressed by 

E.H..f=G.R.Lor ^ '^ / = i 



BROWN & SHARPE MFG. CO. 6^ 

If three of the gears E, H, G, R have been selected, the 
fourth one would be either 



GR L 





H s 


H - 


G R L 




E s 


G- 


.E Hx 




K L 


R = 


.E H X 
GL 


s = 


RGL 



or 
or 
or 



__ RG L _^ / R.G \ 
EH VL.E.H/ 



If a fractional thread is to be cut, as under " 3," we reduce 
the fraction to lower approximate values. 

Example. — Gear for 5.2327 threads per inch, lead screw is 
6 threads. 

2327 
.2327 = -^^-1 

lOOOO 

2327) lOOCO (4 
9308 

692) 2327 (3 
2076 

251) 692 (2 
502 

190) 251 (i 
190 

6r) 190 (3 
183 

7) 61 (8 
56 

5)7(1 
5_ 

2)5 (2 
4 

l) 2 (2- 

2 



7 10 37 306 343 992 2327 



4 13 30 43 159 1315 1474 4263 loooo 

10 / 1 \ J 10 

— =1 .2327 (nearly) and 5.2327 = 5 — 

43 "43 

Selecting E = 43, H = 52, R == 50, and 

^ E.H.J , ^ 4^ . q2 . kI^ 

G = we have G = ^ — ^ ^JJ = ^g. 

R . L 50 . 6 "^^ 



64 BROWN & SHARPE MFG. CO. 

5. The examples so far given all deal with single thread. 
The pitch of a screw is the distance from center of one thread to 
the center of the next. The lead of a screw is the advance for 
each complete revolution. In a single thread screw the pitch 
is equal to the lead, while in a double thread screw the pitch 
is equal to one-half the lead ; in a triple thread screw equal to 
one-third the lead, etc. 

If we have to gear a lathe for a many-threaded screw 
(double, triple, quadruple, etc.), we simply ascertain the lead, 
and deal with the lead as we would with the pitch in a single 
thread screw, i. e., we divide one inch by it, to obtain the num- 
ber of threads for which we have to gear our lathe. 

Example. — Gear for double thread screw, lead = .4654. 
Number of threads per inch to be geared for is : 

II o 

= 2.1487 



Lead -4654 
Lead screw is four threads per inch. 
As in previous examples, we reduce the fraction .1487=^^^^^ 
to lower approximate values by the process of continued frac- 
tion. 

From the different values received in the usual way ^ve 
select : 

ii = .1487 (nearly) and 2.1487 = ,2^^ 

We have therefore : 

L = 4 

(E=74 
Selecting -^ G = 30 

(H=40 
G . L 30 . 4 

Note. — In using any but the original fraction we commit an error. This error 
can be found by reducing the approximate fraction used to a decimal fraction, and 
comparing it with the original fraction. In the above example the original fraction is 

.1487 and 
H = . 14 864 
Error = .00006 inch in lead. 

In cutting a multiple screw, after having cut one 
thread, the question arises how to move the thread tool the 
correct amount for cuttinsr the next thread. 



BROWN & SHARPE MFG. CO. 



65 



In cutting double, triple, etc., threads, if in simple or com- 
pound gearing the number of teeth in gear E is divisible by 
2, 3, etc., we so divide the teeth ; then leaving the carriage 
at rest we bring gear E out of mesh and move it forward one 
division, whereby the spindle will assume the correct position. 

When E is not divisible we find how many turns (V) of 
gear R are made to each full turn of the spindle. Dividing 
this number by 2 for double, by 3 for triple thread, etc., we 
advance R so many turns and fractions of a turn, being careful 
to leave the spindle at rest. 

For compound gearing : * 

G.R 

When the gear D is twice as large as the gear A (as ex- 
plained in fifth paragraph, page 60.) the formula would be 

V= E. H. 
2 G. R. 

If in simple gearing both E and R are not divisible, one 
remedy would be to gear the lathe compound ; or the face- 
plate may be accurately divided in two, three or more slots, 
and all that is then necessary is to move the dog from one slot 
to another, the carriage remaining stationary. 



Table of Tooth Parts 



68 



BROWN & SHARPE MFG. CO. 



TABLE OF TOOTH PARTS. 



CIRCTTLAR PITCH IN FIRST COLUMN. 



•6^ 


Threads or 

Teeth per inch 

Linear. 


•^ pin 


Thickness of 

Tooth on 
Pitch Line. 


^4 


Working Depth 
of Tooth. 


Depth of Space 

below 

Pitch Line. 




Width of 

Thread-Tool 

at End. 


Width of 
Thread at Top. 


P' 


p' 


P 


t 


s 


D" 


s^f 


D"+/ 


PK31 


P'X.335 


2 


1 


1.5708 


1.0000 


.6366 


1.2782 


.7366 


1.3732 


.6200 


.6700 


If 


_8_ 
15 


1.6755 


.9375 


.5968 


1.1937 


.6906 


1.2874 


.5813 


.6281 


H 


_i_ 


1.7952 


.8750 


.5570 


1.1141 


.6445 


1.2016 


.5425 


.5863 


H 


8 
13" 


1.9333 


.8125 


.5173 


1.0345 


.5985 


1.1158 


.5038 


.5444 


li 


T 


2.0944 


.7500 


.4775 


.9549 


.5525 


1.0299 


.4650 


.5025 


lie 


16 
23 


2.1855 


.7187 


.4576 


.9151 


.5294 


.9870 


.4456 


.4816 


li 


IT 


2.2848 


.6875 


.4377 


.8754 


.5064 


.9441 


.4262 


.4606 


li 


3 

4 


2.3562 


.6666 


.4244 


.8488 


.4910 


.9154 


.4133 


.4466 


11 


16 
21 


2.3936 


.6562 


.4178 


.8356 


.4834 


.9012 


.4069 


.4397 


H 


4 

5 


2.5133 


.6250 


.3979 


.7958 


.4604 


.8588 


.3875 


.4188 


li 


16 


2.6456 


.5937 


.3780 


.7560 


.4374 


.8156 


.3681 


.3978 


If 


8 
9 


2.7925 


.5625 


.3581 


.7162 


.4143 


.7724 


.3488 


.3769 


1^ 


16 

It" 


2.9568 


.5312 


.3382 


.6764 


.3913 


.7295 


.3294 


.3559 


1 


1 


3.1416 


.5000 


.3183 


.6366 


.3683 


.6866 


.3100 


.3350 


15 
16 


1* 


3.3510 


.4687 


.2984 


.5968 


.3453 


.6437 


.2906 


.3141 


|- 


li 


3.5904 


.4375 


.2785 


.5570 


.3223 


.6007 


.2713 


.2931 


li- 


li 


3.8666 


.4062 


.2586 


^.5173 


.2993 


.5579 


.2519 


.2722 


f 


If 


3.9270 


.4000 


.2546 


.5092 


.2946 


.5492 


.2480 


.2680 


J_ 


If 


4.1888 


.3750 


.2387 


.4775 


.2762 


.5150 


.2325 


.2513 


11 

16 


li 


4.5696 


.3437 


.2189 


.4377 


.2532 


.4720 


.2131 


.2303 


^ 


If 


4.7124 


.3333 


.2122 


.4244 


.2455 


.4577 


.2066 


.2233 


-f- 


If 


5.0265 


.3125 


.1989 


.3979 


.2301 


.4291 


.1938 


.2094 


-|- 


If 


5.2360 


.3000 


.1910 


.3820 


.2210 


.4120 


.1860 


.2010 


JL 


If 


5.4978 


.2857 


.1819 


.3638 


.2105 


.3923 


.1771 


.1914 


"ie" 


If 


5.5851 


.2812 


.1790 


.3581 


.2071 


.3862 


.1744 .1884 



BROWN & SHARPE MFG. CO. 



69 



TABLE OF TOOTH V ARTS.— Continued. 



CIECULAR PITCH IN FIRST COLUMN. 



Is 


Threads or 

Teeth per inch 

Linear. 


1^- 

ft 


TJiickness of 

Tooth on 
Pitch Line. 






3epth of Space 

below 

Pitch Line. 


0' 


Width of 

Thread-Tool 

at End. 


H 
Eh 


p' 


1" 


P 


t 


S 9 


D" 


s-h/ 


T)\f. 


PX.31 


PX.335 


+ 


2 


6.2832 


.2500 


.1592 


.3183 


.1842 


.3433 


.1550 


.1675 


9 


21 


7.0685 


.2222 


.1415 


.2830 


.1637 


.3052 


.1378 


.1489 


tV 


2-1- 


7.1808 


.2187 


.1393 


.2785 


.1611 


.3003 


.1356 


.1466 


3 

7 


2i 


7.3304 


.2143 


.1364 


.2728 


.1578 


.2942 


.1328 


.1436 


2 
5 


2f 


7.8540 


.2000 


.1273 


.2546 


.1473 


.2746 


.1240 


.1340 


8 


2f 


8.3776 


.1875 


.1194 


.2387 


.1381 


.2575 


.1163 


.1256 


4 
11 


2f 


8.6394 


.1818 


.1158 


.2316 


.1340 


.2498 


.1127 


.1218 


1 
T 


3 


9.4248 


.1666 


.1061 


.2122 


.1228 


.2289 


.1033 


.1117 


5 
16 


^i 


10.0531 


.1562 


.0995 


.1989 


.1151 


.2146 


.0969 


.1047 


3 
10 


3i 


10.4719 


.1500 


.0955 


.1910 


.1105 


.2060 


.0930 


.1005 


2 

7 


3i 


10.9956 


.1429 


.0909 


.1819 


.1052 


.1962 


.0886 


.0957 


1 
i 


4 


12.5664 


.1250 


.0796 


.1591 


.0921 


.1716 


.0775 


.0838 


2 
9 


4i 


14.1372 


.1111 


.0707 


.1415 


.0818 


.1526 


.0689 


.0744 


1 
5 


5 


15.7080 


.1000 


.0637 


.1273 


.0737 


.1373 


.0620 


.0670 


3 
16 


5i 


16.7552 


.0937 


.0597 


.1194 


.0690 


.1287 


.0581 


.0628 


ir 


51- 


17.2788 


.0909 


.0579 


.1158 


.0670 


.1249 


.0564 


.0609 


1 

6 


6 


18.8496 


.0833 


.0531 


.1061 


.0614 


.1144 


.0517 


.0558 


2 
13 


6i 


20.4203 


.0769 


.0489 


.0978 


.0566 


.1055 


.0477 


.0515 


1 
7 


7 


21.9911 


.0714 


.0455 


.0910 


.0526 


.0981 


.0443 


.0479 


2 
15 


7i 


23.5619 


.0666 


.0425 


.0850 


.0492 


.0917 


.0414 


.0446 


1 

T 


8 


25.1327 


.0625 


.0398 


.0796 


.0460 


.0858 


.0388 


.0419 


1 

T 


9 


28.2743 


.0555 


.0354 


.0707 


.0409 


.0763 


.0344 


.0372 


J- 
10 


10 


31.4159 


.0500 


.0318 


.0637 


.0368 


.0687 


.0310 


.0335 


1 

16 


16 


50.2655 


.0312 


.0199 


.0398 


.0230 


.0429 


.0194 


.0209 


ir 


20 


62.8318 


.0250 


.0159 


.0318 


.0184 


,0343 


.0155 


.0167 



70 



BROWN & SHARPE MFG. CO. 



TABLE OF TOOTH PARTS. 



DIAMETRAL PITCH IN FIRST COLUMN, 





ii 


Thickness 
of Tooth on 
Pitch Line. 


Addendum 
and Module. 


.£3 


Depth of Space 

below 

Pitch Line. 


1^ 


p 


P' 


t 


s 


D" 


s+f. 


D"+/. 


i 


6.2832 


3.1416 


2.0000 


4.0000 


2.3142 


4.3142 


f 


4.1888 


2.0944 


1.3333 


2,6666 


1.5428 


2.8761 


1 


3.1416 


1.5708 


1.0000 


2.0000 


1.1571 


2.1571 


li 


2.5133 


1.2566 


.8000 


1.6000 


.9257 


1.7257 


li 


2.0944 


1.0472 


.6666 


1.3333 


.7714 


1.4381 


If 


1.7952 


.8976 


.5714 


1.1429 


.6612 


1.2326 


2 


1.5708 


.7854 


.5000 


1.0000 


.5785 


1.0785 


2i 


1.3963 


.6981 


.UU 


.8888 


.5143 


.9587 


^ 


1.2566 


.6283 


.4000 


.8000 


.4628 


.8628 


2f 


1.1424 


.5712 


.3636 


.7273 


.4208 


.7844 


3 


1.0472 


.5236 


.3333 


.6666 


.3857 


.7190 


3i 


.8976 


.4488 


.2857 


.5714 


.3306 


.6163 


4 


.7854 


.3927 


.2500 


.5000 


.2893 


.5393 


5 


.6283 


.3142 


.2000 


.4000 


.2314 


.4314 


6 


.5236 


.2618 


.1666 


.3333 


.1928 


.3595 


7 


.4488 


.2244 


.1429 


.2857 


.1653 


.3081 


8 


.3927 


.1963 


.1250 


.2500 


.1446 


.2696 


9 


.3491 


.1745 


.1111 


.2222 


.1286 


.2397 


10 


.3142 


.1571 


.1000 


.2000 


.1157 


.2157 


11 


.2856 


.1428 


.0909 


.1818 


.1052 


.1961 


12 


.2618 


.1309 


.0833 


.1666 


.0964 


.1798 


13 


.2417 


.1208 


.0769 


.1538 


.0890 


.1659 


14 


.2244 


.1122 


.0714 


.1429 


.0826 


.1541 



BROWN & SHARPE MFG. CO. 



71 



TABLE OF TOOTH FARTS— Continued. 



DIAMETRAL PITCH IN FIRST COLUMN. 





11 
1- 


Thickness 
of Tooth on 
Pitch Line. 


1^ 

<1 


Working Depth 
of Tooth. 


Depth of Space 

below 

Pitch Line. 


OH 


P. 


P'. 


t. 


s. 


D". 


s+f. 


D"-^/. 


15 


.2094 


.1047 


.0666 


.1333 


.0771 


.1438 


16 


.1963 


.0982 


.0625 


.1250 


.0723 


.1348 


17 


.1848 


.0924 


.0588 


.1176 


.0681 


.1269 


18 


.1745 


.0873 


.0555 


.1111 


.0643 


.1198 


19 


.1653 


.0827 


.0526 


.ia53 


.0609 


.1135 


20 


.1571 


.0785 


.0500 


.1000 


.0579 


.1079 


22 


.1428 


.0714 


.0455 


.0909 


.0526 


.0980 


24 


.1309 


.0654 


.0417 


.0833 


.0482 


.0898 


26 


.1208 


.0604 


.0385 


.0769 


.0445 


.0829 


28 


.1122 


.0561 


.0357 


.0714 


.0413 


.0770 


30 


.1047 


.0524 


.0333 


.0666 


.0386 


.0719 


32 


.0982 


.0491 


.0312 


.0625 


.0362 


.0674 


34 


.0924 


.0462 


.0294 


.0588 


.0340 


.0634 


36 


.0873 


.0436 


.0278 


.0555 


.0321 


.0599 


38 


.0827 


.0413 


.0263 


.0526 


.0304 


.0568 


40 


.0785 


.0393 


.0250 


.0500 


.0289 


.0539 


42 


.0748 


.0374 


.0238 


.0470 


.0275 


.0514 


44 


.0714 


.0357 


.0227 


.0455 


.0263 


.0490 


46 


.0683 


.0341 


.0217 


.0435 


.0252 


.0469 


48 


.0654 


.0327 


.0208 


.0417 


.0241 


.0449 


50 


.0628 


.0314 


.0200 


.0400 


.0231 


.0431 


66 


.0561 


.0280 


.0178 


.0357 


.0207 


.0385 


60 


.0524 


.0262 


.0166 


.0333 


.0193 


.0360 



Tables Giving Corrected T and 
Corrected S 



74 



BROWN & SHARPE MFG. CO. 



TABLES GIVING CORRECTED T AND CORRECTED S 
FOR GEAR TEETH 

To obtain corrected S and corrected T for any diametral 
pitch divide the corresponding dimension for i diametral 
pitch by the required diametral pitch. 

Example — Find the corrected S and T for a gear 5 
diametral pitch 23 T. 

1. 5 696-^5 =.3 1 39 Corrected T 

1. 0268-1-5 = . 2054 " S 



For 



1 DIAMETRAL PITCH 


No. of 
Teeth. 


No. of 
Cutter. 


Corrected 
T 


Corrected 

S 


8 








9 








10 








II 








12 


8 


1.5663 


I.0514 


13 


7i 


1.5670 


1.0474 


14 


7 


1-5675 


1.0440 


15 


6i 


1-5679 


1. 04 1 I 


17 


6 


1.5686 


1.0362 


19 


54 


1.5690 


1.0324 


21 


5 


1.5694 


1.0294 


23 


4i 


1.5696 


1.0268 


26 


4 


1.5698 


1.0237 


30 


34 


I.5701 


1.0208 


35 


3 


1.5702 


1. 0176 


42 


2i 


1-5704 


I.OI47 


55 


2 


1.5706 


I.OII2 


80 


li 


1.5707 


1.0077 


135 


I 


1.5708 


1.0046 


table gi 


v'mg circu 


lar pitch see f 


oUowing page 



BROWN & SHARPE MFG. CO. 



75 



To obtain corrected S and corrected T for any circular 
pitch, multiply the corresponding dimension for i circular 
pitch by the required circular pitch. 

Example — Find the corrected S and T for a y^" circular 
pitch gear with 1 5 teeth. 

.4991 X^=:. 3743 Corrected T 
.3314X3^ = . 2486 - S 



1 CIRCULAR PITCH 


No, of 
Teeth 


No. of 
Cutter 


Corrected 
T 


Corrected 

S. 


8 








9 








10 








II 








12 


8 


.4986 


•3347 


13 


74 


.4988 




3334 


H 


7 


.4990 




3323 


15 


6i 


.4991 




3314 


17 


6 


•4993 




3298 


19 


5* 


•4995 




3286 


21 


5 


.4996 




3277 


23 


4i 


•4997 




3268 


26 


4 


•4997 




3258 


30 


3i 


.4998 




3249 


35 


3 


.4998 




3239 


42 


2i 


•4999 




3230 


55 


2 


.5000 




3219 


80 


i4 


.5000 




3208 


135 


I 


.5000 




3198 



Table Giving Diameter Increments 



78 



BROWN & SHARPE MFG. CO, 



DIAMETER INCREMENT. 

DIAMETER INCREMENT-GEAR 







23 


25 


24 


23 


22 


21 


20 


19 


IS 


17 


16 


15 


14 


13 


12 




12 


84 
1.S2 


.87 
1.80 


.S9 
1.79 


•93 
1.77 


.96 
1.76 


•99 
1.74 


1.03 
1.71 


1.07 
1.69 


I. II 

1.66 


i^i5 
1.63 


1.20 
1.60 


1^25 

1.56 


1.30 

1-52 


1.36 
1.47 


1.41 
1.41 




13 


.S9 
1.79 


•92 
1-77 


•95 
1.76 


.98 
1.74 


1.02 
1.72 


1.05 
1.70 


1.09 
1.68 


1.13 
1.65 


1.17 
1.62 


1. 21 
^•59 


1.26 
1.55 


I-3I 
i^5i 


1.36 
1.47 


I.4I 

I.4I 






14 


•95 
1.76 


.98 
1-75 


1. 01 
1^73 


1.04 
1.71 


1.07 
1.69 


I. II 

1.66 


1. 15 
1.64 


1.19 
1.61 


1.23 
1.58 


1.27 
1.54 


1.32 
1.50 


i^36 
1.46 


I.4I 
1.41 








15 


l.CO 

1-73 


1. 03 
1. 71 


1.06 
1.70 


1.09 
1.68 


I-I3 
1.65 


1. 16 

1.63 


1.20 
1.60 


1.24 
1.57 


1.28 
1.54 


1.32 
1.50 


1.37 
1.46 


1.41 
1.41 








IS 


1.U5 
1.70 


r.o8 
1.68 


1. 11 

1.66 


1.14 
1.64 


1.18 
1.62 


1. 21 
1-59 


1.25 
1.56 


1.29 
1-53 


1.33 
1.49 


1.37 
1.46 


1.41 
1.41 






o 

z 

Q. 


17 


1.09 
1.67 


1. 12 

1.65 


1.16 
1.63 


1. 19 
I.61 


1.22 
1.58 


1.26 
1^55 


1.30 
1.52 


^■33 
1.49 


1.37 
1.45 


1.41 
1.41 






13 


1.14 

1.64 


1. 17 
1.62 


1.20 
1.60 


1-23 

i^57 


1.27 
1-55 


1.30 

1^52 


i.3t 
1.49 


1.38 
1.45 


1.41 
i^4l 






19 


1.18 
1.61 


1.21 , 
1-59 


1.24 
1^57 


1.27 

1-54 


1^31 
1. 51 


i^34 
1.48 


1.38 
1.45 


1. 41 








20 


1.22 
1-59 


1.25 
1.56 


1.28 
1^54 


^•3i 
i^5i 


1-35 

1.48 


i.3« 
1-45 


1.41 
1.4J 








21 


1.26 
1.56 


1.29 

1-53 


1.32 
1.50 


1-35 
1.4S 


1.38 
1-45 


1.41 
1.41 








22 


1.29 
1-53 


1.32 
1.50 


1^35 
1.47 


1.3S 
1-45 


1.41 
1.41 








23 


1-33 
1.50 


1-35 
1.47 


1,38 
1.44 


1.41 
1.41 








24 


1.36 

1-47 


1-39 

1.44 


1.41 
1.41 








25 


i-39 
1.44 


1.41 
1. 41 








26 


1.41 
1.41 







For bevel gears with axes at right angles only. 



BROWN &. SHARPE MFG. CO. 



79 



DIAMETER INCREMENT— (Con/mue^l) 

DIAMETER INCREMENT-GEAR 





41 


40 


39 


38 


37 


36 


35 


34 


33 


32 


31 


30 


29 


28 


27 


12 


.56 
1.92 


.58 
1.92 


.59 
1.91 


.61 
1.91 


.63 
1.90 


.63 
1.90 


.65 

1.89 


.67 
1.88 


.68 
1.88 


.70 
1.87 


.72 
1.87 


.74 

1.85 


.76 
1.85 


•79 
1.84 


.81 
1.83 


13 


.60 
1.91 


.61 
1.90 


.63 
1.90 


.65 
1.89 


.66 

1.89 


.68 
1.88 


.70 
1.87 


•71 
1.87 


• 73 
1.86 


.75 
1.85 


.77 
1.84 


.30 
1.83 


.82 
1.82 


.84 
181 


.87 
1.80 


14 


.65 
1.89 


.66 
1.89 


.67 

1.88 


.69 
1.88 


.71 

1.87 


.72 
1.86 


.74 
1.86 


.76 
1.85 


.78 
1.84 


.80 
1.83 


.82 
1.82 


.85 
1.81 


.87 
1.80 


.89 
1-79 


.92 

1.78 


15 


.69 

1.88 


.70 
1.87 


.72 

1.87 


.74 
1.86 


.75 
1.85 


.77 
1.85 


•79 
1.84 


.Si 
1.83 


.83 
1.82 


.85 
1.81 


.87 
1.80 


.89 
1,79 


.92 

1.78 


•94 
1.76 


•97 
1-75 


16 


.73 
1.86 


.74 
1.86 


.76 
1.85 


.77 
1.85 


.79 
1.84 


.81 
1.83 


.83 
1.82 


•85 
1.81 


.88 
1.80 


.89 
1.79 


.91 
1.77 


.94 
1.75 


.97 

1.75 


•99 
1.74 


1.02 
1.72 


17 


•77 
1.85 


•78 
1.84 


.79 
1.83 


.81 

1.83 


•83 
1.82 


.86 
1.81 


.88 
1.80 


.89 
1.79 


.91 
1.77 


.94 
1.76 


•96 

^•75 


.99 
1.74 


I.OI 

1.73 


1.04 
1. 71 


1.07 
1.69 


18 


.80 
1.8^ 


.82 
1.82 


.84 

i.8i 


.86 
1.81 


.88 
1.80 


.89 
1.79 


•91 
1.78 


•93 
1-77 


•94 
1.76 


.98 
1.74 


I.OI 

1.73 


1.03 
1.72 


1.06 
1.70 


1.08 
1.68 


I. II 
1.66 


19 


.84 
1.81 


.86 
1.81 


.88 
1.80 


.89 
1.79 


•91 
1.78 


.93 
1.77 


.95 
1.76 


•97 
1.75 


.99 
1.73 


1.02 
1.72 


1.04 
1.70 


1.07 
1.69 


1. 10 

1.67 


1. 12 
1.66 


1-15 

1.64 


20 


.88 
1.80 


•89 
1.79 


.91 
1.78 


.93 

1.77 


.95 
1.76 


.97 
.1-75 


•99 

1.74 


I.OI 

1.72 


1.04 
1.71 


1.06 
1.70 


1.08 
1.68 


I. II 
1.66 


1. 14 

1.64 


1. 16 
1.63 


1.19 
1.61 


21 


.91 
1.78 


•93 
1.77 


•94 
1.76 


.97 
1.75 


.99 
1.74 


I.OI 

1.73 


1.03 
1.72 


1.05 
1.70 


1.07 
1.69 


1. 10 
1.67 


1.12 
X.65 


1.14 
1.64 


I.I7 
1.62 


1.20 
1.60 


1-23 

1.58 


22 


•95 
1.76 


.96 
1-75 


.98 
1.74 


I.OO 

1.73 


r.o2 
1.72 


1.04 
1.71 


1.06 
T.69 


1.09 
1.68 


I. II 

1.66 


1.13 
1.65 


1.16 
1.63 


1.18 
1.61 


1. 21 
1.59 


1.24 
1-57 


1.26 

i^55 


23 


.98 
1.74 


I.OO 

^•73 


I.OI 

1.72 


1.04 
1.71 


1.06 
1.70 


1.08 
1.68 


I. ID 

1.67 


1. 12 
1.66 


1. 14 

1.64 


1. 17 
1.62 


1.19 
1.61 


1. 21 
1.59 


1.24 

I-57 


1.27 
1-55 


1.30 
1.32 


24 


I.OI 

1.72 


1.03 
1.71 


1.05 
1.70 


1.07 
1.69 


1.08 
1.68 


I. II 
1.66 


I.I3 
1.65 


I.I5 
1^63 


1.17 
1.62 


1.20 
1.60 


1.23 
1.58 


1.25 
1.56 


1.28 
1.54 


1.30 
i^52 


1.33 

1.49 


25 


1.04 
1.71 


1.06 
1.70 


1.08 
1.68 


1. 10 
1.67 


1. 12 
1.65 


1.14 
1.64 


1.16 
1.63 


1.18 
1.61 


1.20 
1.59 


1.23 

I.S8 


1.26 
1.56 


1.28 
1.54 


1.31 
152 


1-33 
1.49 


1.36 

1.47 


26 


1.07 
1.69 


1.09 
1.68 


I. II 
1.66 


1.13 
1.65 


1.15 
1.64 


1.17 
1.62 


I.I9 
I.61 


1. 21 
1-59 


1.24 
1.57 


1.26 
1.55 


1.28 
1.53 


1.31 
1.51 


1.34 
1.49 


1.36 

1.47 


il.39 

1.44 


27 


1. 10 
1.67 


1. 12 
1.66 


1. 14 
1.64 


1. 15 
1.63 


1.18 
1.62 


1.20 
1.60 


1.22 

1.58 


1.24 

1-57 


1.27 
^•54 


1.29 

1.53 


1.31 


1.34 
1.49 


1.36 

1.46 


1.39 

1.44 


1. 41 
1.41 


28 


I.I3 
1.65 


1. 14 

1.64 


1. 16 
1.62 


1.19 
1.61 


1.21 
1.59 


1.23 

1.58 


1.25 

1.56 


1.27 
1-54 


1.29 

^•53 


1.32 
1.51 


1.34 
1.48 


1.36 
1.46 


i.39 

1.44 


1. 41 
1.41 




29 


1. 15 
1.63 


1. 17 
1.62 


1.19 
1.60 


1. 21 
1.59 


1.23 
1.57 


1.26 
1.56 


1.28 
1.54 


1.30 

1-52 


1.32 
1.50 


1.34 
1.48 


1.37 

1.46 


1.39 

■1.44 


1. 41 
1. 41 






30 


1.18 
1.61 


1.20 
1.60 


1.22 
1-59 


1.24 
1.57 


1.26 
1.55 


1.28 
I..S4 


1.30 
1.52 


1.32 
1.50 


1.35 

1.48 


1.37 
1.46 


1.39 

1.44 


1.41 
1.41 


y. 




31 


1. 21 
1-59 


1.23 

1.58 


1.25 

1.57 


1.26 
1.55 


1.28 
^•53 


1.31 
1.51 


1.33 
1.50 


1-35 
1.48 


1.37 
1.46 


1.39 
1.44 


1. 41 
1. 41 


3 onl 




32 


1.23 
1.58 


1-25 

1.56 


1.27 
1.54 


1.29 
1.53 


1.31 
1.51 


1.33 
1.50 


1.35 

1.48 


1-37 
1.46 


•i.3y 
1.44 


1. 41 
1.41 


ngle 




33 


1.25 
1.56 


1.27 
1-54 


1.29 
1.53 


1.31 
1.51 


1-33 
1.49 


1.35 
1.48 


1.37 
1.45 


1.39 
1.43 


1.41 
1. 41 


^ht a 




34 


1.28 
1.54 


i^30 
1.52 


1.31 
1.51 


1.33 
1.49 


1.35 
1.48 


1.37 
1.45 


1.39 
1.43 


1. 41 
1. 41 


It rig 




35 


1.30 
1.52 


1.32 
1.50 


1.34 
1.49 


1.35 
1.48 


1.38 
1.45 


1-39 

1.43 


1. 41 
I.4I 


«es c 




36 


1.32 
1.50 


1^34 
1.49 


1.36 
1.47 


1.38 
1.45 


1.40 
i^43 


I.41 
"I.41 


tha: 




37 


1.34 
1.49 


l^36 
1^47 


1.38 
1.45 


1.40 
i^43 


1. 41 
1. 41 






38 


1.36 

1.47 


1.38 
1.45 


1.40 
1.43 


1. 41 
1. 41 








39 


1.38 
1.45 


1.40 
i^43 


1.41 
I.41 


evel 


gears wi 




40 


1.40 
^•43 


1.41 
1.41 


'or b 




41 


1.41 
1.41 


F 





8o 



BROWN & SHARPE MFG. CO. 



DIAMETER INCREMENT— (Continued.) 

DIAMETER INCREMENT-GEAR 





56 


55 


54 


53 


52 


51 


50 


49 


48 


47 


46 


45 


44 


43 


42 


12 


.42 
1.96 


•43 
1-95 


•43 
1-95 


•44 
1-95 


•45 
1-95 


.46 

1-95 


•47 
1.94 


.48 
X.94 


.48 
1.94 


•49 
1.94 


•50 
1.94 


•52 

^•93 


•53 
1-93 


•54 
1-93 


•55 
1.92 


13 


•45 

1-95 


.46 
1-95 


.47 
1.94 


.48 
1.94 


.48 
1.94 


•49 
1.94 


•50 

1.94 


•51 

1-93 


•52 

1-93 


1-93 


•54 
1.92 


•56 
1.92 


•57 
1.92 


•58 
1.91 


•59 
1.91 


14 


.4J5 
1.94 


•49 
1.94 


•50 

1.94 


•51 

1-93 


•52 

1-93 


•53 
1.93 


•54 
1-93 


.55 
1.92 


.56 
1.92 


1.92 


•58 
1.91 


•59 
1.91 


.61 
1.91 


.62 

1.90 


•63 
I 00 


15 


•52 

1-93 


•53 

^•93 


•54 
1^93 


• 54 
1.92 


•55 
1.92 


•56 
1.92 


.57 
1.92 


•59 
1. 91 


.60 
1.91- 


.6l 
1.91 


.62 
1.90 


•63 
1.90 


.65 
1.89 


.66 
1.89 


.67 
1.88 


16 


.55 
1.92 


.56 
1.92 


.57 
1.92 


.58 
1.91 


.59 
■ 1.91 


.60 
1.91 


.61 
1.90 


.62 
1.90 


•63 
1.90 


•64 
1.89 


.66 
1.89 


.67 

1.88 


.68 

1.88 


.70 
1.87 


•71 

1.87 


17 


.58 
1.91 


.59 
1.91 


.60 
1.91 


.61 
1.90 


.62 
X.90 


•63 
1.90 


•6+ 


.66 
1.S9 


.67 
1.89 


.68 

1.88 


•69 

1.88 


.71 

1.87 


•72 

1.87 


.74 
1.86 


.75 
1.85 


18 


.61 
1.90 


.62 
1.90 


.63 
1.90 


.64 
1.89 


■65 

1.89 


.67 
1.89 


I. '88 


•69 
1.88 


.70 
1.87 


• 72 

1.87 


•73 

T.86 


.74 
1.86 


.76 
185 


•77 
1.84 


•79 
1.84 


19 


.64 
1.89 


•65 
1.89 


.66 
1.89 


•67 

1.88 


.69 

1.88 


.70 

1.87 


• 71 

1.87 


.72 

1.86 


•74 
1.86 


•75 
1.85 


.76 

1.85 


.78 
1.84 


•79 
1.84 


.81 
1.83 


.82 
1.82 


20 


.67 

1.88 


.68 

1.88 


.69 
I.8S 


•71 

1.87 


•72 

1.87 


• 73 
1.86 


.74 
1.86 


•76 
i^8,S 


•77 
1. 85 


• 78 
1.84 


.80 
1.83 


.81 
1^83 


.83 
1.82 


.84 
1.81 


.86 
1.81 


21 


.70 
1.87 


• 7^ 

1.87 


,72 
1.86 


.74 
1.86 


.75 

i^85 


.76 
r.85 


.77 
1.84 


•79 
1.84 


.80 
t.83 


.82 

1.83 


.83 
1.82 


.85 
1.81 


.86 
1.80 


.88 
1.80 


.89 
1.79 


22 


.73 
1.86 


.74 
1.86 


.75 

1.85 


.77 
1.85 


.78 
1.84 


• 79 
1.84 


.81 
1.83 


.82 
1.82 


.83 
1.82 


.85 
I.81 


.86 
1.80 


.88 
1.80 


.89 
1.79 


.91 
1.78 


•93 
1-77 


23 


.76 
1.85 


.77 
1.85 


•78 
1.84 


.80 
1.83 


.81 
1.83 


.82 
1.82 


.84 
1.82 


.85 
1.81 


.86 
1.80 


.88 
1.80 


.8q 

1.79 


•91 

1.78 


.93 
1.77 


•94 
1.76 


.96 
1^75 


24 


•79 
1.84 


.So 
1.83 


.81 
1.83 


.83 
1.82 


.84 
1.82 


.85 
1.81 


•87 
1.80 


.88 
1.80 


•89 
1.79 


.91 
i^78 


•93 
1.77 


•94 
1^76 


.96 
1.76 


•97 
1^75 


•99 
1.74 


25 


.82 
1.83 


•83 
1.82 


.84 
1,81 


.85 
1.81 


.87 
1.80 


.88 
1.80 


•89 
1.79 


.91 
i^78 


.92 
1.77 


•94 
1^77 


.95 
1.76 


.97 
1.75 


.99 
1.74 


I.OI 

1^73 


1,02 
1.72 


26 


I.8I 


.85 
1.81 


.87 
1.80 


.88 
1.80 


.89 
1.79 


.91 
1.78 


.92 
1-77 


.94 
1-77 


.95 
1.75 


.97 
1^75 


•98 
1.74 


1.00 
1.73 


1.02 
1.72 


1.04 
1.71 


1.05 
1.70 


27 


.87 
1.80 


.88 
i.So 


.89 
1.79 


•91 

1.78 


•92 
1.78 


.94 
1.77 


.95 
1.76 


•97 
1.75 


.98 
1^74 


1. 00 
1.73 


I.OI 

1.72 


1.03 
1.71 


1^05 
1.70 


1.06 
1.69 


1.08 
1.68 


28 


.«9 
1.79 


.91 

1.78 


.92 
T.78 


93 
1^77 


.95 
1.76 


.96 
1-75 


.98 
1^75 


•99 
1-74 


I.OI 

1.73 


1.02 

1.72 


1.04 

1.7^ 


1.06 

1.70 


1.07 
1.69 


1.09 
1.68 


I. II 

1.60 


29 


.92 
1.78 


.93 
1.77 


•95 
1^76 


.96 
1^75 


•97 
1^75 


.99 
1^74 


1.00 
1.73 


1.02 

1^72 


1.03 
1.71 


1.05 
1.70 


1.07 
X.69 


1.08 
1.6S 


1. 10 
i^67 


1. 12 
1.66 


1. 14 
1.65 


30 


.94 
1.76 


.96 
1.76 


.98 
^•74 


•99 
1.74 


1,00 
1.73 


I.OI 

1.72 


1.03 
1.71 


1.04 
1. 71 


1.06 
1.70 


1.08 
1.69 


1.09 

1.68 


I. II 
1.66 


1.13 
1.65 


1.14 
1.64 


1.16 
1.63 


31 


.97 
1.75 


•98 
1.74 


1. 00 
1^73 


I.OI 

1.73 


1.02 
1.72 


1.04 
1.71 


1.05 
1.70 


1.07 
1.69 


1.09 
1.68 


1. 10 
1.67 


1. 12 
1.66 


i.13 
1.65 


1.15 
1.63 


1. 17 
1.62 


1. 19 
1.61 


32 


.99 
1.74 


l.OI 

1-73 


1.02 

1.72 


1.03 
1.71 


1.04 
1. 71 


I.Ob 
1.69 


1.08 
1.68 


1.09 
1.67 


I.I] 
1.66 


I-I3 
1.65 


1. 14 
1.64 


1. 16 
1-63 


i.ib 
1.62 


1. 19 
1.60 


1. 21 
1-59 


33 


1.02 
1.72 


1.03 
1. 71 


1.04 
1. 71 


1.06 
1.70 


1.08 
1.69 


1.09 
1.68 


1. 10 
1.67 


1. 12 

1.66 


113 
1.65 


I-I5 
1.64 


1. 17 
1.63 


1. 18 
1.61 


1.20 
1.60 


1.22 
1-59 


1.24 
1-57 


34 


1.04 
1. 71 


1.05 
1.70 


1.07 
1.69 


1.08 
1.68 


1.09 

1.67 


I. II 
1.66 


1. 12 
1.65 


1. 14 
1.64 


1. 16 
1.63 


1. 17 
1.62 


1. 19 
1.61 


1. 21 

1-59 


1.22 

1.58 


1.24 
1-57 


1.26 
1-55 


35 


1.06 
1.70 


1.07 
1.69 


1.09 

1.68 


1. 10 

1.67 


1. 12 
1.66 


1. 13 
1.65 


I-I5 
1.64 


I-I7. 
163 


1. 18 
1.62 


1. 19 
1.60 


1.21 

1-59 


1.23 

1.58 


1^25 

1-57 


1.26 
1-55 


1.28 
1-54 


36 


I.Ob 

1.68 


1. 10 

1.67 


I. II 
1.66 


1. 12 
1.65 


1.14 
1.64 


I-I5 
1.63 


1. 17 
1.62 


i.i» 
1. 61 


1.19 
1.60 


r.2i 
1^59 


1.23 
1-57 


125 

1.56 


1.27 
1-55 


1.28 
^•53 


1.30 
r-52 


37 


1. 10 
1.67 


1. 12 
1.66 


^•13 
1.65 


1. 14 
1.64 


1. 16 
1.63 


r.17 
1.62 


1.19 
1.61 


1. 21 
1.60 


1.22 

i^,58 


1.24 
1-57 


1-25 

1.56 


1.27 
1-55 


1.29 
1.53 


1.30 

1-52 


1.32 
1.50 


38 


1. 12 
1.66 


1. 14 
1.65 


1. 15 
1.64 


1. 16 
1.63 


X.18 
I.61 


1.20 
1.60 


1. 21 
^•59 


1.23 
1.58 


1.24 
1-57 


1.26 
1.56 


1.27 
^•54 


1.29 
1-53 


1.31 


1^32 

1.50 


1-34 
1.48 


39 


1. 14 
1.64 


1.16 
I 63 


1.17 
1.62 


1. 19 
1.61 


1.20 
1.60 


1. 21 

1-59 


1-23 

1.58 


1.25 
T.56 


1.26 
1-55 


128 
^•54 


1.29 
I -.53 


I-3I 
^•5i 


1.33 
1.50 


^•34 

1.48 


1.36 
X.47 


40 


1. 16 
1.63 


1. 18 
1.62 


1. 19 
1.61 


1.20 
1.60 


1.22 
1-59 


1.23 
^•57 


I^25 

1.56 


1.26 
^•55 


1.28 
1-54 


1.30 
1.52 


^•3i 
151 


^•33 
1.49 


^•35 
1.48 


^36 
1.46 


1.38 
1-45 


41 


I.IH 
1.61 


1.20 
1.60 


1.21 
1-59 


1.22 
1.58 


1.24 
1^57 


1-25 

1-56 


1.27 

1-55 


1.28 
1^53 


I •SO 

1^52 


1-31 
151 


i^33 
1.49 


1-35 

1.48 


i^36 
1.46 


x-38 
^•45 


1.40 
^•43 


42 


1.20 
1.60 


1. 21 
^•59 


1-23 

1.58 


1.24 
1-57 


1.26 
1.56 


1.27 
1-54 


1.29 
1-53 


1.30 

^•52 


132 
1.51 


1-33 
1.49 


^•35 
1.48 


1.36 
1.46 


l^38 
1.45 


1.40 
1^43 


1.41. 
1.41 



For bevel gears with axes at right angles only. 



BROWN & SHARPE MFG. CO. 



DIAMETER INCREMENT— (C^^//^^^^^/) 

DIAMETER INCREMENT-GEAR 





72 


71 


70 


69 


68 


67 


66 


65 


54 


63 


62 


61 


60 


59 


58 


57 


12 


• 33 
1.97 


.33' 
1-97 


•34 
1-97 


•34 
1.97 


•35 
1.97 


•35 
1.97 


•36 
1.97 


•36 

1.97 


.37 
1.97 


•37 
1.96 


.38 
1.96 


•39 
1.96 


■ 39 
1.96 


.40 
1.96 


.41 
1.96 


.41 
1.96 


13 


.36 
1.97 


.36 
1.97 


.37 
1.97 


•37 

1-97 


•38 
1.96 


•38 
1.96 


.39 
1.96 


•39 
1.96 


.40 
t.96 


.40 
1.96 


.41 
1.96 


.42 
T.96 


.42 
1-95 


•43 

^■95 


•44 

1-95 


•44 
1-95 


14 


.38 
1.96 


•39 
1.96 


•39 
1.96 


.40 
1.96 


.40 
1.96 


.41 
1.96 


.42 
1.96 


■42 
1.96 


•43 
195 


•43 

1-95 


•44 
195 


•45 
195 


■45 
1-95 


.46 
1-95 


■47 
1.94 


.48 
1.94 


15 


.41 
1.96 


.41 
1.96 


.42 
1.96 


.42 
1-95 


•43 

1-95 


•44 
1-95 


■44 
1-95 


•45 
195 


.46 

1-95 


.46 
i95 


•47 
1.94 


•48 
1.94 


.48 
1.94 


■49 
1.94 


■50 

1.94 


•51 

1.94 


16 


•43 
1-95 


•44 
1-95 


•45 
1-95 


•45 
1-95 


.46 
1-95 


.46 
1-95 


•47 
1.94 


.48 
1.94 


■48 
1.94 


•49 
1.94 


•50 
1.94 


•51 
1-93 


•52 
1.03 


■52 
1-93 


■53 
^■93 


•54 
i^93 


17 


.46 
1-95 


•47 
1-95 


•47 
1.94 


.48 
T.94 


.48 
1.94 


•49 
1.94 


•50 
1.94 


■51 
1-93 


•51 
1-93 


•52 
i^93 


•53 
1-93 


•54 
1-93 


•55 
1.92 


■55 
t.92 


•5(5 
1.92 


•57 
1.92 


18 


.48 
1.94 


.49 
1.94 


•5^ 
1.94 


•50 
1.94 


•51 
1-93 


•52 
1-93 


•53 
1^93 


•53 
1.93 


•54 
1^93 


•55 
1.92 


•56 
1.92 


•57 
1.92 


•57 
1.92 


•58 
1.91 


•59 
1.91 


.60 
1.91 


19 


.51 
1.93 


.52 

^•93 


•52 
^•93 


•53 
1^93 


•54 
i^93 


•55 
1.92 


.55 
1.92 


.56 
1.92 


•57 
1.92 


.58 
1.91 


•59 
1.91 


•59 
1.91 


.60 
1.91 


.61 
1.90 


.62 
1.90 


.63 
1.90 


20 


•54 
1-93 


•54 
i^93 


•55 
1.92 


•56 
1.92 


•56 
1.92 


.57 
1.92 


.58 
1.91 


.59 
1.91 


.60 
1.91 


.61 
1.91 


.61 
1.90 


.62 
1.90 


•63 
1.90 


•64 
1.89 


•65 

1.89 


.66 
1.89 


21 


.56 
1.92 


.57 
1.92 


•57 
1.92 


•58 
1.91 


.59 
1.91 


.60 

1. 91 


.61 

1.91 


.61 
1.90 


.62 
1.90 


.63 

1.90 


.64 
1.89 


•65 

1.89 


.66 

1.89 


.67 

1.88 


.68 

1.88 


.70 
1.87 


22 


.58 
1.91 


•59 
1.91 


.60 
1.91 


.61 
1.91 


.62 
1.90 


.62 
1.90 


•63 
1.90 


.64 
1.89 


.65 

1.89 


.66 
1.89 


•67 

1.88 


.68 

1.88 


.69 

1.88 


.70 
1.87 


.71 
1.87 


•72 
1.87 


23 


.61 
1.91 


.62 
1.90 


.62 
1.90 


.63 
1.90 


.64 
1.89 


•65 
1.89 


.66 
1.89 


.67 
1.89 


.68 
1.88 


.69 
1.88 


.70 
1.88 


•71 

1.87 


•72 
1.87 


•73 
1.86 


•74 
1.86 


.75 
1.85 


24 


.63 
1.90 


.64 
1.89 


.65 

1.89 


.66 

1.89 


.67 
1.89 


.67 

1.88 


.68 
1.88 


.69 

J.88 


.70 
1.87 


.71 
1.87 


.72 
1.87 


.73 
1.86 


•74 
1.86 


.75 
1.85 


.76 
1.85 


• 78 
1.84 


25 


.66 
1.89 


.67 
1.88 


.67 
1.88 


.68 
1.88 


.69 

1.88 


.70 
1.87 


•71 
1.87 


.72 
1.87 


•73 
1.86 


.74 
1.86 


.75 
1.86 


.76 
1.85 


•77 
1.85 


•78 
1.84 


.79 
1.84 


.80 
1^83 


26 


.68 
1. 88 


.69 
1.88 


.70 

1.87 


.71 

1.87 


•71 
1.87 


.72 
1.86 


.73 
1.86 


•74 
1.86 


•75 
1.85 


.76 
1.85 


•77 
1.84 


•78 
1.84 


.80 
1.84 


.81 
1^83 


.82 
1.82 


.83 
1.82 


27 


.70 

1.87 


.71 
1.87 


.72 
1.87 


.73 
1.86 


.74 
1.86 


.75 
1.86 


.76 
1.85 


.77 
1.85 


•78 
1.84 


.79 
1.84 


.80 
1.83 


.81 
1.83 


.82 
182 


.83 

1. 82 


.84 
1.81 


.86 
1.81 


28 


.72 
1.86 


.73 
1.86 


.74 
1.86 


.75 
1.85 


.76 
1.85 


.77 
1.85 


•78 
1.84 


•79 
1.84 


.80 
1.83 


.81 
1.83 


.82 
1.82 


•83 
1.82 


.85 
1.81 


.86 
1.81 


.87 
1.80 


.88 
1.80 


29 


.75 
1.86 


.76 
1.85 


.77 
•1.85 


.78 
1.84 


.78 
1.84 


.79 
1.84 


.80 
1.83 


.82 
i^83 


.83 
1.82 


.84 
1.82 


•85 
1.81 


.86 
1.81 


•87 
1.80 


.88 
1.80 


•89 
1.79 


•91 

1.78 


30 


.77 
1.85 


.7« 
1.84 


.79 
1.84 


.80 
1.83 


.81 
1.83 


.82 
1.83 


•83 
1.82 


•84 
1.82 


.85 
1.81 


.86 
1.81 


.87 
1.80 1 


.88 
1^79 


•89 
1^79 


•91 

1.78 


•92 
1.78 


.93 
i^77 


31 


•79 
1.84 


.80 
1.83 


.83 

1.83 


.82 
1.82 


.83 
1.82 


.84 
1.82 


.85 
1. 81 


.86 
1.81 


•87 
1.80 


.88 
1.79 


•89 
1.79 


•91 

1.78 


.92 
1.78 


•93 

1-77 


•94 
1.76 


■96 
1.76 


32 


.81 
1.83 


.82 
1.82 


•83 
1.82 


.84 
1.81 


.85 

1.81 


.86 

1.80 


.87 
1.80 


.88 
1.79 


•89 
1.79 


•91 
1.78 


.92 
1.78 


.93 
^•77 


.94 
1.76 


.95 
1.76 


.97 
1.75 


.98 
1.74 


33 


.83 
1.82 


.84 
1.81 


•85 
1.81 


.86 
1.80 


•87 
1.80 


.88 
1-79 


.89 
1.79 


.91 

1.78 


.92 
1.78 


.93 
1.77 


.94 
1-77 


•95 
1.76 


.96 
1-75 


.98 
1-75 


.99 
1-74 


I.OO 

173 


34 


.85 
I.81 


.86 
1.80 


.87 
1.80 


.88 
1.79 


.89 
1.79 


.91 

1.78 


.92 

1.78 


.93 
1-77 


.94 
1-77 


•95 
1.76 


•96 

1-75 


•97 
i^75 


.99 

1.74 


I.OO 

1.73 


I.OI 

^•73 


1.02 
1.72 


35 


.87 
1.80 


.88 
1.79 


•89 
^•79 


.90 
1.78 


.92 

1.78 


•93 
1.77 


•94 
'•77 


•95 
1.76 


.96 
1^75 


•97 
1-75 


•98 
1.74 


I.OO 

1-73 


I.OI 

^•73 


1.02 
1.72 


1.03 
1. 71 


^•05 
1.70 


35 


.89 
1.79 


.90 
1.78 


.91 

1.78 


•93 
^•77 


•94 
1-77 


.95 
1.76 


.96 

1.76 


•97 
1.75 


•98 
1.74 


•99 
1.74 


I.OO 

^•73 


1.02 
1.72 


1.03 
1. 71 


1.04 
1. 71 


1.05 

1.70 


1.07 
1.69 


37 


•91 

1.78 


.92 
^•77 


.93 
1.77 


.95 
1.76 


.96 
1.76 


•97 
1.75 


.98 
1^74 


•99 
1.74 


I.OO 

1^73 


I.OI 

1.72 


1.03 

1.72 


1.04 
1.71 


1.05 
1.70 


1.06 
1.69 


1.08 
1.69 


1.09 
1. 68 


38 


.93 
1.77 


.94 
1.76 


.95 
1.76 


.97 
1.75 


.98 
1.75 


•99 
1.74 


I.OO 

1.73 


I.OI 

1-73 


1.02 
1.72 


1.03 
1.71 


1.05 
1.71 


1.06 
1.70 


1.07 
1.69 


1.08 
1.68 


1. 10 
1.67 


I. II 
1.66 


39 


■95 
i^76 


.96 
1^75 


•97 
i^75 


.98 
1^74 


•99 
i^73 


I.OI 

i^73 


1.02 
1.72 


1.03 
1.71 


1.04 
1.71 


1.05 

1.70 


1.06 
1.69 


1.08 
1.68 


1.09 
1.68 


1. 10 
1.67 


1. 12 

1.66 


M3 
1.65 


40 


•97 
1.75 


•97 
1.75 


•99 
1.74 


I.OO 

1^73 


I.OI 

1.72 


1.03 
1.72 


1.04 
1.71 


1.05 
1.70 


i.o5 
1.70 


1.07 
1.69 


1.08 
1.68 


1. 10 
^67 


I. II 
1.66 


1. 12 
1.66 


1. 14 
1.65 


^•I5 

1.64 


41 


.99 
1.74 


I.OO 

1.73 


I.OI 

1^73 


1.02 
1.72 


1.03 
1.71 


1.04 
1. 71 


1.06 
1.70 


1.07 
1.69 


1.08 
1.68 


1.09 
1.68 


1. 10 
1.67 


1. 12 
1.C6 


1. 13 
1.6^ 


1. 14 
1.64 


^•15 
1.63 


1. 17 
1.62 


42 


I.OI 

^•73 


1. 02 
1.72 


1.03 
1.72 


1.04 
1.71 


1.05 
1.70 


1.06 
i.6c^ 


1. 07 
1.60 


1.09 
1.68 


1. 10 
1.67 


I. II 
1.66 


1. 12 
1.66 


^•I3 
1.6,^ 


1. 15 
1.6^ 


1. 16 


1.17 
1.62 


1. 19 
1.61 








For 


beve 


Ige 


ars \ 


vith 


axes 


> at 


righ 


t an| 


.les 


only 









Tables for Angle of Edge and Angle 
of Face of Gears 



84 BROWN & SHARPE MFG. CO. 



TABLES FOR ANGLES OF EDGE AND ANGLES 

OF FACE. 

The following four tables have been computed for the 
convenience in calculating data for bevel gears with axes at 
right angle. They do not hold good for bevel gears with axes 
at any other angle. 

To use the tables the number of teeth in gear and pinion 
must be known. 

Having located the number of teeth in the gear on the 
horizontal line of figures at the top of the table, and the num- 
ber of teeth in the pinion on the vertical line of figures on the 
left-hand side, we follow the two columns to the square formed 
by their intersections. 

The two angles found in the same square are the respective 
angles for gear and pinion. The tables are so arranged that 
the angle belonging to the gear is always placed above the 
angle for the pinion. 

The cutting angle for a gear or pinion is equal to the 
angle of face of its mate as given in the following tables. 



BROWN & SHARPE MFG. CO. 



85 



TABLE I. 

ANGLE OF EDGE-GEAR 





41 


40 


39 


38 


37 


36 


35 


34 


33 


32 


31 


30 


29 


28 


27 


12 


73 '41' 
i6°i9' 


73=ib' 
16^42' 


72^54' 
i7'^6' 


72^28' 
17=32' 


72=2' 

17^58' 


71-34' 
18-26' 


7i''5' 

18=55' 


70=34' 
19=26' 


70=1 ' 

I9'59' 


69=26' 
20-34' 


68^50' 

21=10' 


68 "12' 

21=48' 


67=31' 
22=29- 


6648' 
23=12' 


66^2' 
2358' 


13 


72^25' 
i7^-'35' 


71=59' 
iS'i' 


71-34' 
18^26' 


71=7/ 

18^53' 


70-39' 

I9'=2l' 


70-9' 

I9°5i' 


69=37' 
20=23' 


69 '5' 
20=55' 


68-30' 
21=30' 


67-53' 
22=7' 


67=15' 
22=45' 


66=34' 
23' 26' 


6551' 

24=9' 


656' 
24=54' 


64=17' 
25=43' 


14 


7i'9' 
18^^51' 


70'43' 
19^17' 


70-15' 
19^45' 


69=46' 
20=14' 


69°i6' 
20=44' 


68=45' 
21-15' 


68=12' 

21=48' 


67°37' 
22=23' 


67=0 ' 
23=0' 


66=23' 
23=37 ' 


65=42' 

24=18' 


64^59' 
25=1' 


64=14' 
25=46' 


63-26' 

2b 34' 


6236' 
27=24' 


15 


69^^54' 


69=26' 
20 ^^4' 


68°58' 

2I°2' 


68=28' 
21=32' 


67''56' 

22^4 ' 


67=23' 

22=37' 


66-48' 
23=12' 


66=12' 

23^48' 


65=33' 
24=27 


64=53' 

25^7' 


64 10' 
25=50 ' 


63=26' 
26=34' 


62=39' 
27=21' 


61=49' 

28°Il' 


60-57' 
29°3' 


16 


68''4i' 

2l"'l9' 


68^12' 
21=48' 


67^42' 
22°l8' 


67=10' 
22=50' 


66=37' 
23=23' 


66=2' 
23^58' 


65=26' 

24=34' 


64=48' 
25=12' 


648' 
25^52' 


63-26' 
26=34' 


62-42 ' 

27=18' 


61=56' 
28=4' 


61-7' 
28-53' 


60-15' 
29-45' 


59-21' 
30^39' 


17 


67'^29' 
22^31' 


66=58' 

23°2' 


66^27' 

23^^33' 


65^54' 

24'' 6' 


65=19' 
24=41' 


64=43' 
25-17' 


64=6' 
25=54' 


63=26' 
26=34' 


62=45' 
27^15' 


62-1' 
27-59' 


61=15' 

28=45' 


60=28' 
29=32' 


59-37' 
30-23' 


58-44' 
31=16' 


57=48' 
32=12' 


18 


66'^ 18' 
23^42' 


65*^46' 

24°i4' 


65^14' 
24^46' 


64°39' 
25=21' 


64=4' 
25^56' 


63-26' 
26=34' 


62=47' 
27^13' 


626' 
27^54' 


61=23' 

28=37' 


60-38' 
29-22' 


5951' 
30=9 ' 


59"2' 
3058' 


58=10' 
31-50' 


57-16' 
32=44' 


5619' 
33°4I' 


19 


65^8' 

24°52' 


64=36' 
25-24' 


64^2' 
25^58' 


63=26' 
26°34' 


62=49' 

27=11- 


62-10' 
27-50' 


61-30' 
28=30 ' 


6048' 
29=12' 


6o-4' 
29=56' 


59-18' 
30=42 ' 


58-30' 
31=30' 


57=39' 

32 '21' 


56=46' 
33=14' 


55=51' 
34=9' 


54^52' 


20 


64'^o' 
26^0' 


63-26' 
26^34' 


62^51' 
27'9 ' 


62-14' 
27°46' 


61-37' 
28=23' 


60-57' 
29-3' 


60 15' 
29^45' 


59=32' 
30=28' 


58-47' 
3i'i3' 


58-0' 
32=0' 


57-10' 
32=50' 


56=19' 

33=41' 


5524' 
34=36' 


54=28' 
35=32' 


53-28' 
36^32' 


21 


62^53' 

27^7' 


62-18' 
27^42' 


6r'^42 ' 
28'=i8' 


6i=4' 
28^56' 


60=25' 

29°35' 


59-45' 
3o°i5' 


59 '2' 
3o"58' 


58=18' 
3i'42- 


57-32' 
32=28' 


56=43' 

33^17' 


55=53' 

347' 


55'o' 
35=0' 


54=5' 
35°55' 


537' 
36-53' 


52^B' 
3752' 


22 


61-47' 
28"i3' 


61011' 
28-49' 


6c^~34' 
29^26' 


59=56' 
3o''4' 


59=15' 
30°45' 


58-34' 
31^26' 


57=51' 
32"9' 


576' 
3254' 


56=19' 
33M1' 


55^29' 
34=31' 


54=38' 

35=22 ' 


53-45' 
36=15' 


52=49' 
37=11' 


51-50' 
38=10' 


50=49' 
39'ii' 


23 


6o-'42' 
29°i8' 


6o°6' 
29°54' 


59^28' 
30'32' 


58°49' 
31=11' 


58=8' 
31 V 


57=25' 
32^35' 


5641' 
33"-i9' 


55^55' 

34=5' 


557' 
34'53' 


54-18' 
35°42' 


53-26' 

36 "34 ' 


5231' 

37-29' 


51=35' 

38-25' 


50=36' 
39=24' 


49=34; 
40=26' 


24 


59-^9' 
30-'2i' 


59^2' 
30^58' 


58=23' 
31^37' 


57-44' 
32=16' 


57=2' 
32=58' 


56=19' 
33=41' 


55=33' 
34=27' 


54=47' 
35=13' 


53=58' 
36-2' 


53=8' 
36^52' 


52=15' 

37=45' 


51=20' 
38=40' 


50^3' 
39-37 ' 


49=24' 
40=36' 


48=22' 
41=38' 


25 


58^38' 
3122' 


58^0' 
32^0' 


57-20' 

32''40' 


56=40' 
33"2o' 


55=57' 
34=3' 


55=13' 

34^47' 


54=28' 
3532' 


53=40' 
36=20' 


52-51' 

37^^9' 


52-0' 

3S'^o' 


51=7' 
3853' 


5012' 

39^48' 


49-14; 
40=46' 


48=14' 
41=46' 


47-^12' 
42-48' 


26 


57'-37' 
32^23' 


56^58' 
332' 


56=19' 
33'4i' 


55"37' 
34"23' 


54^54' 
35^6' 


54=10' 
35-50' 


53=24' 
3636' 


52=36' 

37^24' 


5i'46' 
38^14' 


50-54' 
39''6' 


50-1 ' 
39^9' 


49-5' 
40=55' 


48=7' 
41-53' 


47=7' 
42^53' 


46=5' 
4355' 


27 


56-3^' 

33"22' 


55=59' 
34'!' 


55=18' 
34'42' 


54^36' 
35^24' 


53-53' 
36^7' 


53=7' 
36=53' 


5221' 
37'39' 


51^33' 

38=27' 


50=43' 
39^^17' 


4951' 
4o"9 ' 


4^37' 
41^3' 


4S0' 
42=0' 


47-3' 
42-57' 


46'>2' 
43°58' 


45° 


28 


55^40' 

34°2o' 


55=0' 
35'0' 


54=19' 
35^^41' 


53"37' 
36^^23' 


52^53' 
37^^7 ' 


52^8' 
37^52 ' 


51=20' 
38=40' 


50=32' 
39=28' 


49=41' 
40=19' 


48=49' 
41 -11 


47-55' 
42^5' 


46=58' 
43^2- 


46-0' 
44-0' 


45° 




29 


54^44' 
35^^16' 


54=3' 
35°57' 


53=22' 

36^38' 


52^39' 
37°2i' 


51=55' 

38°5' 


51^9' 

38=51' 


50=21' 
39-39' 


49=32' 
40=28' 


48=41' 
41=19' 


47'49' 
42=11' 


46^54' 
43'6' 


45^58' 
44=2 ' 


45° 






30 


53"4«' 
36^12' 


53=7' 
36^53 ' 


52=26' 
37'34' 


51-42' 

38''! 8' 


50^58' 
39^2' 


50-12' 
39^48' 


49-24' 
40=36' 


48=35' 
41-25' 


47=43' 
42=17' 


46=51' 

43^'9' 


45=56' 
44=4' 


45° 






31 


52^54' 
37^6' 


52^13' 

37'47' 


51^31' 
38^29' 


50-48' 
39"i2' 


50=2' 

39^58' 


49=16' 
40=44' 


48-2S' 
41=32' 


47=39' 
42-21' 


46=47' 
43=13' 


45=54' 
44^6' 


45° 






32 


52-2 ' 
37^58' 


51-20' 
38^40' 


50^38' 
39=22' 


49^'54' 
4o"6' 


49=9' 
40=51' 


48=22' 
41^38' 


47=34; 
42-26' 


46-44' 
43=16' 


45=53' 

44"7' 


45° 






33 


38 V 


50=29' 
39°3i' 


49^46' 
40=14' 


49-2' 
40-58' 


48=16' 
41=44' 


47=29' 
42=31' 


46=41' 
43=19' 


45-51' 
44'9' 


45° 






34 


50^2U' 

39>' 


49-38' 
40=22 ' 


48=55' 
41^5' 


48"ii' 
4i°49' 


47=25' 
42=35' 


46=38' 

43=22' 


45^50' 
44-10' 


45= 






35 


49'3i' 
40^29' 


48=48' 

4I''I2' 


48=5' 
4i'55' 


47*^21' 
42°39' 


46=35' 
43=25' 


45^48' 

44=12' 


45° 






36 


48^43' 
41^17' 


48°o' 

42^'0 ' 


47=17' 
42^43' 


46-33' 
43-27' 


45=47' 
44"I3' 


45° 






37 


47'56' 
42^4' 


47=14' 
42^46' 


46^30' 
43°30' 


45-46' 
44-14' 


45° 






38 


47^10' 
42°5o ' 


46^28' 
43'32' 


45^45' 
44°i5' 


45^ 






39 


46"26' 
43^^34' 


45-'43' 
44'i7' 


45° 






40 


45^42' 
44^18' 


45^ 






41 


45^ 







86 



BROWN & SHARPE MFG. CO. 



TABLE I (Continued). 
ANGLE OF EDGE-GEAR 







26 


25 


24 


23 


22 


21 


20 


19 


18 


17 


16 


15 


14 


13 


12 




12 


65-14' 

24°46' 


64''22' 

25°38' 


63-26' 

26°34' 


62^27' 

27°33' 


61-23' 

2S''37' 


60^15' 
29^45' 


59^2' 
30°58' 


57°44' 
32°i6' 


56=19' 
33°4i' 


54=47' 
35=13' 


53=7' 
36=53' 


51=20' 
38°40' 


49-24^ 
40=36' 


47=17' 
42=43' 


45° 




13 


63^26' 
26^34' 


62^31' 

27-29' 


61*^33' 

2S''27' 


60^31' 
29^29' 


59^25' 
30 '35' 


58^14' 
31^46' 


5^=58' 
33'2' 


55=37' 
34"23' 


54=10' 
35'-50' 


52=36' 
37=24' 


50=54' 
396' 


49=5' 
40=55' 


47=7' 
42=53' 


45° 






14 


6i''42' 
28-'i8' 


6o"45' 
29='i5' 


59'45' 
30°i5' 


58>' 
3i'2o' 


57^32' 
32=28' 


56^19' 
33°4i' 


55"°'; 
35'o' 


53^37' 
36=23' 


52=8' 
37^52' 


50=32' 

39=28' 


48=48' 
41=12' 


46=58' 
43=2' 


45° 








15 


60^1' 


59C2/ 
30^58' 


58^0' 
32-'o' 


56'^53' 
33^7' 


55^^43' 
34°I7' 


54^28' 
35^32' 


53=7 '. , 
36^53' 


51=42' 
38°iS' 


50=12' 

39^48' 


48=35' 
41=25' 


46=51' 
43=9' 


45° 








16 


58J23; 
31^37' 


57"23' 

32^37' 


56-^19' 

33°4i' 


55""' 
34^49' 


53^58' 
36^2' 


52=42' 

37°i8' 


51-20' 
38=40' 


49'54' 
4o''6' 


48=22' 
41^38' 


46=44' 
43°i6' 


45° 








17 


56^49' 
33""' 


55^47' 
34''I3' 


54"4i' 
35^19' 


53^32' 
36^28' 


52°i8' 
37°42' 


5100 ' 
39°o' 


49-38' 
40=22' 


48=11' 
41=49' 


46=38' 
43=22' 


45° 






z 
o 


18 


55°i8' 
34°42' 


54"i5' 
35°45' 


53^'7' 
36''53' 


5i°57' 

38°3' 


50''43' 
39°i7' 


49=24' 
40=36' 


48=0' 
42^0' 


46^-33' 
43^27' 


45° 






z 


19 


53°5i' 
36^9' 


52^46' 
37^14' 


5i''38' 

38°22' 


50^26 ' 
39^34' 


49'^ii' 
4o°49' 


47=52' 

42=8' 


46=28' 
43=32' 


45° 








20 


52°26' 

37°34' 


51020 ' 
38^40' 


50^^12 ' 
39^48' 


48-^59' 
4i'^i' 


47^43' 

42=17' 


46-24' 
43^36' 


45° 








21 


5i°4' 
3S°56' 


49^58' 

40°2' 


48^48' 
41^12' 


47^36' 
42^24' 


46-20' 
43°4o' 


45° 








22 


49>' 
40°i4' 


48^39' 
41^21' 


47-29' 
42^31' 


46^16' 
43°44' 


45° 








23 


48"30' 
4i°3o' 


47^23' 
42^37' 


46^13' 
43^47' 


45° 








24 


47°i7' 
42''43' 


46-10' 
43^50' 


45° 








25 


46-7 ' 
43°53' 


45° 








26 


45° 




N. 








tan <3f^ = — jr 



tan (x^ = 



Nb 



(See page 18). 



BROWN & SHARPE MFG. CO. 



87 



TABLE II. 

ANGLE OF EDGE-GEAR 





72 


71 


70 


69 


68 


67 


66 


65 


64 


63 


62 


61 


60 


59 


58 


57 


12 


80^33' 
9^27' 


8o°i5' 
935' 


8o"i6' 
9^44 


8o"8' 
9°52' 


79-59' 

lo-i' 


79-51 

io"9' 


79-42' 
10-18' 


79-32' 

10-28' 


79-23 
10-37' 


79-13' 
10-47 


79-3' 
10-57' 


78-52' 
11-8' 


78-41' 

ii°i9 


78-30' 
11-30 


78-19' 

ii°4i' 


78-7' 
11-53' 


13 


79-46' 

io'i4' 


79-37' 
10-23' 


79^29' 
10-31' 


79-20 

I0°40' 


79-11' 
10-49' 


79-1' 
10-59' 


78-51' 
11-9' 


78-4I' 

11-19' 


78-31' 
11-29' 


78-20' 

IX -4^ 


78-9' 

ii°5i' 


77-58' 
12-2' 


77^46' 
12-14' 


77-34' 

I2°26' 


77°22' 

12=38' 


77-9' 
12-51' 


14 


79^-0' 
ii°o' 


78-51' 

If 9' 


78'4i' 
ri-19' 


78-32' 
11-28' 


78-22' 
11-38' 


78-11' 
11-49' 


78^1' 
11^59' 


77-5I' 

12-9' 


77^40' 

I2''20' 


77^28' 

1232' 


77-17' 
12-43' 


77-5' 
1 2-55' 


76^52 
13-8' 


76-39' 
13-21' 


76-26' 
J 3=34' 


76-12' 

13-48' 


15 


78-14' 
li°46' 


78-4' 
11-56' 


77"54' 
12^6' 


77-44' 
12-16' 


77-34' 

I2°26' 


77-23' 
12-37' 


77-12' 
12-48' 


77-0' 

i3°o' 


76-48' 
13-12' 


76-36' 

13-24' 


76-24' 
13-36' 


76-xi' 
13-49' 


75=58 
14-2' 


75-44' 
14-16' 


75-30' 
14-30' 


75-15' 
14-45' 


16 


77°28' 

I2"32' 


77-18' 
12-42' 


77°7' 
iz'^SS' 


76-57' 

I3°3' 


76-45' 

I3'i5' 


76°34' 
13-26' 


76-22' 

13^38' 


76-10' 
i3'5o' 


75-58' 
14-2' 


75-45' 
14-15' 


75-3^' 
14-28' 


75-18' 
14-42' 


75-4' 
14-56' 


74=49' 
15-11' 


74-35' 
15-25' 


74-19' 
15-41' 


17 


76^43' 
I3°i7' 


76-32' 

13-2B' 


76-21' 
I3'39' 


76-10' 
I3>' 


75-^58' 
14-2' 


75-45' 
14-14' 


75-33' 
14-27' 


75-21' 
14-39' 


75^8' 
14-52 ' 


74-54' 
15^6' 


74-40' 
15-20' 


74-25' 
15^35' 


74-11' 
15-49' 


73=56 
16-4' 


73-40^ 
16-20' 


73-24' 
i6°36' 


18 


75^58' 
14-2' 


75-46' 
14-14' 


75'35' 
14^-25' 


75"23' 
i4"37' 


75-10' 
14-50' 


74-58' 
15-2' 


74-45' 
15" 15' 


74-31' 
15-29' 


74-17' 
I5°43' 


74^3' 
15-57' 


73-49' 
16-11' 


73-33' 
16-27' 


73-18' 
16-42' 


73=2' 
16-58' 


72-45' 
17-15' 


72-29 
17=31' 


19 


75"i3' 
14'47' 


75-1' 
14-59' 


74-49' 
15-11' 


74^36' 
15-24' 


74-23' 
I5'37' 


74-10' 
15-50' 


73^56' 
i6>' 


73-42' 
16-1S' 


73-28' 
16-32' 


73-15' 
16-47' 


72-58' 
17-2' 


72-42' 
17-18' 


72^20' 
17^34' 


72-9' 

1/51' 


71-52' 

18-8' 


71-34' 
iS-26' 


20 


74°29' 


74"i6' 
15-44' 


74-3' 
15^57' 


73-50' 
16-10' 


73-^37' 
16-23' 


73-23' 
16-42' 


73^9' 
16-51' 


72-54' 
17-6' 


72-39' 
17-21' 


72-23' 
i7'37' 


72-7' 
17^53' 


71-51' 
1S-9' 


71-34' 
18-26' 


71-16' 

iS-44' 


70-59' 

19=1' 


70-40' 
19-20' 


21 


73"45' 
i6°i,s' 


73^32' 
16=28' 


73-18' 
16-42' 


73-4' 
16-56' 


72-50' 
17-10' 


72-36' 
17-24' 


72-21' 

17°39' 


17°54 


71-50' 
i8°io' 


71-34' 
18^26' 


71-17' 
18-43' 


71-0' 
19-O' 


70-43' 
19-17 


70^24' 
19-36' 


70-6 
19''54' 


69-46; 
20-24' 


22 


73^1' 
1659' 


72-47' 
I7''i3' 


72"33' 
I7°27' 


72-19' 
17-41' 


72-4' 
17-56' 


71-49' 
1&-11' 


71-34' 
18^26' 


71-18' 
18-42' 


71-2' 
18-58' 


70-45' 
19^15 


70^28' 
19^34' 


70-10' 
19-50' 


69-52' 
20-8' 


69=33' 
20-27' 


69-13' 
20-47' 


68-54' 

21°6' 


23 


72^17' 
17^43' 


72=3' 
i7'-57' 


71049, 
i8°ii' 


71-34' 
l8°26' 


71-19' 
18-4 1' 


71-3' 
18-57' 


70-47' 
19^13' 


70-30' 
19-30' 


70-14 
19-46' 


69-57' 
20-3' 


69-39' 
20-21' 


69-20' 
20-40' 


69=2' 
20-58' 


68-42' 
21-18' 


68-22' 
21-38' 


68-2' 
21-58' 


24 


71^34' 
i8^~26' 


71^19' 
i8''4i' 


71-5' 
i8°55' 


70-49' 
19-11' 


70-34' 
19-26' 


70-17' 
I9°43' 


70-1 ' 
19''59' 


69-44' 
20-16' 


69^26' 
20-34' 


69-9' 
20-51' 


6S-50' 

21°IO' 


68-31' 
21-29' 


68-12' 
21-48' 


67-52 

22-8' 


67-31' 
22-29' 


67-10' 
22-50' 


25 


70^51' 
19^9' 


70^36' 
19^24' 


70 ''21' 
19-39' 


70^5' 
19^55' 


69^49' 

20-11' 


69-32' 
20-28' 


69-15' 
20-45' 


68-57' 
21-3 ' 


68-40' 
21-20' 


68-21' 
2 1 '39' 


68-3' 
21-57' 


67-43' 
22-17' 


67-23' 
22-37' 


67-2' 
22^58' 


66-41' 
23.19' 


66-19' 

23=41' 


26 


70^9' 
19^51' 


69^53' 

20^7' 


69^37' 
20^23' 


69-21' 
20-39' 


69-4' 
20-56' 


68-48' 
21-12' 


68-30' 
21-30' 


68-12' 
21-48' 


67^54' 
22=6' 


67-34' 
22-26' 


67-15' 
22-45' 


66-55' 
23-5' 


66-34' 
23-26' 


66-13' 
23^47' 


65-51' 
24-9' 


65^29 
24^31 


27 


69^27' 
20°33' 


69^10' 

20''50' 


68-54' 

21-6' 


68-38' 
21-22' 


68-20' 
21-40' 


68-3' 
21-57' 


67-45' 

22°I5' 


67-26' 

22-34' 


67=8' 
22-52' 


66-48' 
23-12' 


66-28' 
23-32' 


66-7' 
23-53' 


65-46' 
24-14' 


65-25' 
24-35' 


65:2', 
24 58' 


64-39' 
25-21' 


28 


68"45' 

2I"I5' 


68-29' 

2l''3I' 


68-12' 
21-48' 


67^55' 

22°5' 


67-37' 
22-23' 


67-19' 
22-41' 


67-I' 
2259' 


66-42' 

23-18' 


66-22' 

23=38' 


66-2' 
23^58' 


65^42' 
24 '18' 


65-21- 
24-39' 


64=59' 
25=1' 


64^37' 
25-23' 


64-14' 
25-46' 


63^50' 
26-10' 


29 


68'4' 
21-56' 


67-47' 
22^13' 


67-30' 
22-30' 


67-12' 
22-48' 


66'54' 
236' 


66-36' 
23° 24' 


66-17' 
23^43' 


65-57' 
24-3' 


65;-'37' 
2423' 


65-16' 

24-44' 


64-55' 
25-5' 


64-34' 
25^26' 


64-12' 
25=48' 


63-50' 
26=10' 


63-26' 

26-34' 


63-2' 

26-5S' 


30 


67 '23' 
22-37' 


67^6' 
22-54' 


60-48' 
23-12' 


66-30' 
23-30' 


66^12' 

23-48' 


65-52' 
24-8' 


65-33' 
24-27' 


65-14' 
24-46' 


64-53' 
25=7' 


64-32' 


64-10' 
25-50' 


63-49' 
26-11' 


63-26' 

26-34' 


63=3', 
2657 


62-39' 
27-21' 


62-14' 
27-46' 


31 


66>42' 
23"i8' 


66''25' 
23-35' 


66-6' 
23-54' 


65-48- 
24°I2' 


65-29' 
24-31' 


65-10' 
24-50' 


64-50' 
25-10' 


64-30' 
25-30' 


64-9' 
25^51' 


63-48' 
26-12' 


63-26' 


63-3' 
26-57' 


62-40' 
27-20' 


62-18' 
27-42' 


6r53' 

28^7' 


61- 28' 

28-32' 


32 


66"2' 
23-58' 


65^44' 
24-16' 


65-26' 
24 "34' 


65-7' 
24-53' 


64-48' 
25-12' 


64^28' 
25^32' 


64-8' 
25-52' 


63-47' 
26^13' 


63^6' 
26-34' 


63^4' 
26-56' 


62-42' 

27-18' 


62-19 
27-41' 


61-56' 

28-4' 


61-32' 
28-28' 


61-7' 
28^53' 


60-41' 

29-19' 


33 


65°23' 
24°37' 


65-4' 
24-56' 


64-45' 
25-15' 


64-26' 
25-34' 


64-7' 
25-53' 


63-47' 
26-13' 


63-26' 
26-34' 


635' 
26-55' 


62-43' 

27-17' 


62-21' 

27-39' 


61-58' 

28°2' 


61-35' 
28-25' 


61=11' 
28^49' 


60-47' 
29"i3' 


60-21' 
29-39' 


59^56' 

30-4' 


34 


64^43' 
25^17' 


64^^25' 
25^35' 


64-5' 
25^55' 


63-46' 
26^4' 


63-26' 
26-34' 


63-5' 
26-55' 


62-45' 
27-15' 


62-23' 

27-37' 


62-1' 

27^59' 


61-38' 
28-22' 


61-15' 
28-45' 


60-52' 
29^8' 


60-28' 
29-32' 


60-3' 

29-57' 


59-37' 
30-23' 


59-11' 
30-49' 


35 


64'5' 
25^55' 


63-45' 
26-15' 


63-26i 

26-34' 


636' 

26-S4' 


62-46' 

27"i4' 


62-25' 

27-35' 


62-4' 
27'56' 


61-42' 
28^18' 


61-19' 
28-41' 


60-57' 
29-3' 


60-33' 
29-27' 


6o"9' 
29-51' 


59=45' 
30-15' 


59-19' 
30-41' 


58-53' 
31-7 ' 


58-27' 
31-33' 


36 


63>6' 
26^34' 


63^7' 
26-53' 


62-47' 
27-13' 


62"27' 

27-33' 


6^6' 
27^54' 


61-45' 

28-15' 


61-23' 

28-37' 


61-1' 
28-59' 


60-38' 
29-22' 


60-15' 

29-45' 


59-51' 
30-9' 


59-27' 
3o"33' 


59=2' 

30=58' 


58-37' 
31-23' 


58''io' 
3i'50' 


57-43' 

32-17 


37 


62-48' 
27-12' 


6f28' 
27^32' 


62-8' 
27^52' 


61=48' 
28-12' 


61=^27' 

28-33' 


61-5' 

28-55' 


60-44' 
29-16' 


60-21' 
29-39' 


59-58' 
30-2' 


59-35' 
30°25' 


59PIO' 
30-50' 


5846' 
3i"l4' 


5S-20' 
31=40' 


57-54' 
32-6' 


57-28' 
32-32' 


57-1' 
32-59' 


38 


62-11' 

27V 


61-51/ 

28-9' 


61-30' 

28=30' 


61-9' 

28-51' 


60-48' 
29'?! 2' 


60-26' 
29-34' 


60-4 ' 
29°56' 


5^41' 
30°i9' 


59-1^' 
30-42' 


58-54' 
31-6' 


58-30' 
31-30' 


58-5' 
31^^55' 


57-39' 
32-21' 


57-13' 
32-47' 


56-46' 

33-14' 


56-19' 
S3^-4i' 


39 


6i''33' 
28=27' 


61-13' 
28-47' 


60-53' 
29-7' 


60-31' 
29-29' 


60-10' 
29°50' 


59-48' 
30-12' 


59-25' 
30-35' 


59-2' 
3058' 


58-39' 
31-21' 


58-14' 
31-46' 


57-50' 

32-10' 


57-24' 
32-36' 


56-58' 

33-2 ' 


56-32' 

33=28' 


56-6' 

33-54' 


55-37' 
34-23' 


40 


60-57' 

29^3' 


60-36' 
29°24' 


6o°i5' 

29^45' 


59-53' 
30^7' 


59-32' 
30-28' 


59-10' 
30^50' 


58-47' 
3i°i3' 


58-24' 
31-36' 


58-0' 
32-0' 


57-35' 

32°25' 


57-10' 
32-50' 


56-44' 
33"i6' 


56-19' 
33=41' 


55-52' 
34-8' 


53-24' 
34'35' 


54-57' 
35^3' 


41 


60-20' 
29-40' 


6o°o' 

30-0' 


59-39' 
30-21' 


59-17' 
30^43' 


58-55' 
3i'5' 


58-32' 
31-28' 


58-9' 
31-51 ' 


57-45' 
3215' 


57-21' 
32-39' 


56-57' 
33 \3' 


56-32' 

33^28' 


56-6' 
33"54' 


55-39' 
34-21' 


55-12' 

34-48' 


54-44' 
35^16' 


54-16' 

35-44' 


42 


59^45' 
30^15' 


59'24' 
JOJ6; 


59^3' 
30^57' 


58-40' 

31°20' 


58-18' 
31-42' 


57-55' 
32-5' 


57-32' 

32-28' 


57'^S' 
3252- 


5643' 
33-17' 


56-19' 
33-41' 


55^53' 
34-7' 


55"27' 
34^33' 


55' 0' 
35=0' 


54-33' 
35-27 


54-5' 
35'55' 


53-37' 
36-23 



BROWN & SHARPE MFG. CO. 



TABLE II (Continued). 

ANGLE OF EDGE-GEAR 





5S 


55 


54 


53 


52 


51 


50 


49 


48 


47 


4S 


45 


44 


43 


42 


12 


77"o4' 

I2°6^ 


77-42' 

I2°l8' 


77-28' 
12-32' 


77^15' 

I2°45' 


77-0' 
13-0' 


76-46' 
13-14' 


76-30' 
13-30' 


76-14' 
13-46' 


75-58 
14^2' 


75-4 1' 
14-19' 


75-23' 
14-37' 


75-4' 
14-56' 


74-45 
15-15' 


74^25' 
15-35' 


15-57' 


13 


76"56' 


76^42' 

^°i8' 


76°28' 
13^32' 


76-13' 

13-47 


75"5&' 

I4°2' 


75-42' 
I4°i8' 


75-26' 

i4°34' 


75-8' 
1452' 


74-51' 
15-9' 


74-32' 
15-2S' 


74-13' 
15-47' 


73-53' 
16Y 


73-32' 
i6°28' 


73-11' 
16-49' 


72-48' 
17-12' 


14 


75-58' 

14°2' 


75-43^ 
I4°I7' 


75-28' 
14-32' 


75-12' 
14-48' 


74-56' 
15-4' 


74°39' 
15-21' 


74-21' 
15-39' 


74 "3' 
15-57' 


73-44' 

i6°i6' 


73-25' 

l6"35' 


73-4' 
16-56' 


72-43' 
17-17' 


72-21' 
17-39' 


71-58' 
18-2' 


71-34' 
18-26' 


15 


75"o' 
i5°o' 


74-44' 


74-29' 
15-31' 


74-12' 
15-48' 


73-55' 
i6°5' 


73-37' 
i6°23' 


73^18' 
16-42' 


72°59' 
i7°i' 


72-39' 
1 7° 21' 


72-iS' 
17-42' 


71-56' 

18-4' 


71-34' 
i8°26' 


71-10' 
i8°5o' 


70-46' 
19-14' 


70-21' 
19-39' 


16 


74^3' 
i5"57' 


73-47' 
I6°I3' 


73-30' 
16-30' 


73-12' 
16-4S' 


72^54' 
17^6' 


72-35' 
17-25' 


72°i5' 
17-45' 


7i°55' 
1S-5' 


71-34' 
18-26' 


71-12' 

i8°48' 


70-49' 


70-26' 
19-34' 


70-1' 
i9°59' 


69-35' 

20°25' 


69^9^ 

20°5I' 


17 


73"7' 
i6°53' 


72^49' 
17 II' 


72-31' 
17-29' 


72^3' 
I7°47' 


7i'^54' 
i8°6' 


71-34' 
i8°26' 


71*13' 
i8°47' 


7o°52' 
19-S' 


70-30' 
19-30' 


70-7' 
19°53' 


69-43' 
20-17' 


69-17' 
20-43' 


68-52' 

2f8' 


68-25' 
2i°34' 


67-58' 

22=2' 


18 


72-11' 

I7"49' 


7i°53' 
i8°7' 


71-34' 
i8°26' 


71-15' 
18-45' 


70^54' 
I9°6' 


7o°33' 
I9°27' 


70°I2' 

I9"48' 


69-50' 

20°10' 


69-26' 
20-34' 


69-3' 
2o°57' 


6S-38' 
21-22' 


68-12' 
21-48' 


67-45' 

22-15' 


67-17' 
22-43' 


66-48' 
23-12' 


19 


71^15' 
i8°45' 


70-57' 
I9°i' 


70-37- 
19-23' 


70-17' 
19°43' 


69-56' 
20-4' 


69°34' 

20°26' 


69°i2' 
20-^48' 


68-48' 
21°12' 


6S°25' 
21-35' 


67-59 ' 

22-1' 


67-34' 
22-26' 


67^6' 
22'-54' 


66-38' 
23-22' 


66-10' 
23-50' 


65-39 
24-21' 


20 


70°2I' 

I9°39' 


70-1' 
I9"59' 


69^41' 

20°i9' 


69"i9' 
20 41' 


68-57' 
21-3' 


68=^35' 

2I°25' 


68°i2' 
2i°48' 


67-48' 
22°12' 


22°37' 


66-57' 
23-3 ' 


66-30' 
23-30' 


66^2' 

23'-58' 


65-33' 
24-27' 


65-3' 
24-57' 


64-32' 
25-28' 


21 


6^° 2b' 

20°M' 


69-6' 
2o°54' 


68°45' 
21-15' 


68-23' 
2i°37' 


68°o' 

22°0' 


67-37' 

22°23' 


67-13' 

22^^47' 


66°48' 
23^12' 


66°22' 

23-38' 


65-55' 
24-5' 


65-28' 
24-32' 


64-59' 


64-29' 
25-31' 


63-58' 
26^2' 


63-26' 
26:34' 


22 


68^33' 

21°27' 


68^12' 
2i°48' 


67-50' 

22''lO' 


67-^27' 

22°33' 


67-4' 
22°56' 


66"4o' 

23°20' 


66"i5' 
23-45' 


65-49' 
24-11' 


65-23' 
24-37' 


64-55' 
25-5' 


64-26' 
25-34' 


63-57' 
26-1;' 


63-26; 

26-34' 


62-54' 
27-6' 


62-21' 
27-39' 


23 


'67^41 

22°I9' 


67^18' 

22°42' 


66^^55' 
23"5' 


66-32' 
23-28' 


66-8' 
23-52' 


65-44' 

24°i6' 


65-18' 

24°42' 


64-51' 
25-9' 


64-24' 
25-36' 


63-55' 
26°s' 


63-26' 
26-34' 


62-56' 
27-4' 


62-24' 
27-36' 


61-52' 
28°8' 


6i°iS' 
28°42' 


24 


66-^48' 
23^12' 


66-26' 
23°34' 


66^2' 
23-58' 


65-38' 

24°22' 


65-14' 

2,",6' 


64=48' 
25-12' 


64^22' 
25-38' 


63-54' 
26-6 ' 


63-26' 
26-34' 


62-57' 
273' 


62-27' 
27-33' 


61-56' 
28°4' 


61-23' 

28^37' 


6o°5o' 
29-10' 


6o°J5' 
29°45' 


25 


65^57' 
24''3' 


65-33' 

24°27' 


65-9' 
24-51' 


&4°45' 
25-15' 


64-20' 
25-40' 


63-53' 
26°7' 


63°26' 
26^34' 


62-58' 

27°2' 


62-29' 
27-31' 


61-59' 
28-1' 


61-29' 
28-31' 


60-57' 
29-3' 


60-24' 
29-36' 


59-50' 
3o°io' 


59°X4' 
30°46' 


26 


65^5- 
24°54' 


64^42' 
25°iS' 


64° 18' 
25-42' 


63-52' 
26°8' 


63-26' 
26°34' 


62-59' 

27°I' 


62''3i' 

27°29' 


62"3' 

27-57' 


61-33' 

28-27' 


61-3' 

28-57' 


60-31' 
29-29' 


59-59' 
30-1' 


59-25' 
30-35' 


58-50' 
3i°io' 


58'^4' 
3r°46' 


27 


64"i6' 

25-44' 


63"5i' 
26°q' 


63-26' 
26-34' 


63-0 ' 
27-0' 


62^34' 

27°26' 


62-6' 
27-54' 


6i"38' 
28-22' 


6i"8' 
2S°52' 


60-38' 
29-22' 


60-7' 
29-53' 


59-35' 
30-25' 


30-58' 


58-28' 
31-32' 


57-53' 
32°7' 


57-16' 
32°44' 


28 


63-26' 
26V 


63-1' 
26°59' 


62-36' 

27-24' 


02"9' 

27°5i' 


61^42' 

28-18' 


6i°i4' 

2S°46' 


60-45' 
29^15' 


60-15' 
29-45' 


59-45' 
30-15' 


59-13' 

30-47' 


58-40' 
31-20' 


58-7' 
31-53' 


57-32' 
32-28' 


56-56' 
33°4' 


56°X9' 
33°4i' 


29 


62°i7' 

27°23' 


62^^12' 

27°48' 


61-45' 
28^15' 


6i°i9' 
28°4i' 


6o°5i' 
29-9' 


6o°23' 
29-37' 


59-53' 
30-7' 


59-23' 
30-37' 


58-52' 
3i°8' 


58-19' 
31-41' 


57-46' 
32-14' 


57-12' 
32-48' 


56-37' 
33-23' 


56-0' 
34°o' 


55-23' 
34-37' 


30 


61-49' 
2S"n' 


6i°23' 
2S°37' 


6o"57' 


6o"29' 
29-31' 


6o'i' 
29'59 


59-32' 
30^28' 


59'2' 
30-58' 


58-32' 
31-28' 


56-0' 
32-0' 


57-27' 
32-33' 


56-53' 
33-7' 


56-19' 
33-41' 


55-43' 
34-17' 


55-5' 
34-55' 


54-28' 
35-32' 


31 


6l"2' 

2b°5S' 


&0-36' 

29°24'' 


29^54' 


59-41' 
30°i9' 


59'i2' 
30-48' 


58-42 
31-18' 


5S-12' 
3A8' 


57-41' 
32-19' 


57-8' 
32-52' 


56-36' 

33-24' 


56-1' 
33°59' 


55-26' 

34°34' 


54-50' 
35-10' 


54-12' 
35°48' 


53-34' 
36-26' 


32 


6o"i5 
29°45 


59-48' 
3o'i2' 


59-21' 
30-39' 


56-52' 
31-3' 


58°34' 
3i°26' 


57-54' 
32-6' 


57-23' 

32-37' 


56-52' 
33°8' 


56-19' 
33°4I' 


55-45' 
34-15' 


55-11' 

34-49' 


54-35' 
35°25' 


53-58' 
,6-2' 


53-21' 
36°39' 


52-42' 
37°i8' 


33 


59-^9' 
30^31' 


59-2' 
3o'58' 


5^ "34' 
31-26' 


5^-5' 
31-55' 


57-36' 
32-24' 


32-54 


56-54' 
33-26' 


56-2' 
33'5S' 


55 ''30' 

34-30' 


54-56' 
35-4' 


54-21' 
35-39' 


53°45' 

36-15' 


53-8' 
36-52' 


52-29' 
37°3i' 


51-50' 
38-9' 


34 


^">'. 


5.-10' 
3144' 


57-4S' 
32-12' 


57^19' 
3241' 


56-49' 
33^11' 


56°i9' 
33-41' 


55-47' 
34 13' 


55-15' 
34-45' 


54-41' 
35-19' 


54-7' 
35-53' 


53-32' 
36-28' 


52-52' 

37^8' 


52-18' 
37-42' 


51-40' 
38-20' 


51-0' 
39°o' 


35 


5b-o' 
32°o' 


57-32' 
32-28' 


57 '3' 
32-57' 


56°33' 
33-27' 


56-3' 
33-57' 


55°32' 
34-28' 


55-0' 
35°o' 


54-28' 
35-32' 


53-54' 
36-6' 


53-20' 
36-40' 


52-44' 
37-16' 


52-.' 
37^52' 


51-30' 
38-30' 


50-51' 
39-9' 


50-12' 
39^48' 


33 


57-16' 
3244' 


56-48' 
33°i2' 


56^19' 
33-41' 


55-49' 
34°ii' 


55"i8' 
34-42' 


54°47' 
35°I3' 


54^15' 
33-45' 


53^42' 
36-18' 


53-8' 
36-52' 


52-33' 

37-27' 


51-57' 
38-3' 


51-20' 
3S°4o' 


50^^.3' 
39°i7' 


50-4' 
39-56' 


49-24' 
40-36' 


37 


56'32' 
33 ""28' 


56-4' 
33-56 


55-35' 
34-25' 


^5-5' 
34°55' 


54°34' 
35-26' 


54^^' 
35-58' 


53-30' 
36-30' 


52-56' 
37-4' 


52-23' 
37-37' 


51-47' 
36-13' 


51-12' 

38-48' 


50-35' 
39''25' 


4906' 
40°4' 


49^17' 
40-43' 


48-37' 
41-23' 


38 


35-51' 

34-9' 


55-21' 
34°39' 


54-52' 
35^3' 


54^23' 
35-37' 


53-51' 
36-9' 


53-ii5' 
36-42' 


52-46' 
37-14' 


52°! 2' 
37-48' 


5i°38' 
38-22' 


51-3' 
36°57' 


50-27' 
39-33' 


49-49' 
4o°ii' 


49-11' 
40-49' 


48-32' 
41-28' 


47-52' 
42-8' 


39 


55-9' 
34-51' 


54-39' 
35°2i' 


54°io' 
35-50' 


53°39' 
3(^-21' 


53^-7' 
30-53' 


52-30' 
37^24' 


52<i' 

37°57' 


51-29' 
38^31' 


5o"54' 
39"6' 


50-19' 
39-41' 


49-42' 
40-18' 


49-5' 
40-55' 


48-27' 
41-33' 


47-48' 
42-12' 


47-7' 
42-53' 


40 


54-2S' 
35°32' 


5i-58' 
36°2' 


53-28' 
36-32' 


52^58' 
37-2' 


52^^26' 
37-34' 


5i°54' 


51°20' 

38-40' 


50-46' 
39-14' 


50°I2' 

39-48' 


49"36' 
4024' 


4B-59' 
41-1' 


48-22' 
4i°38' 


47-44' 
42-16' 


47^5' 
42-55' 


4624' 
43-36' 


41 


53-4S' 
36^12' 


53"! 7' 
36°43' 


52-48' 
37-12' 


52-^16' 
37-44' 


5i°45' 
38-15' 


51°I2' 

3^°4S' 


50-39' 
39°2i' 


50-5' 
39°55' 


49-30' 
40°3o' 


48°54' 
41-6' 


48-17' 
41-43' 


47-40' 
42-20' 


47'!' 
42-59' 


46-22' 
43-38' 


45-41' 
44^19' 


42 


53-8' 


52°38' 

37°22' 


52-8' 
37-52' 


51-36' 
3S-24' 


51^4' 
38-56' 


50-^32' 
39^2S_; 


49^58' 
40^2' 


49-24' 

40-36' 


48-49' 
4i°ii' 


48-13' 
4i°47' 


47-36' 
42-24' 


46^59' 
43-1' 


46-20' 
43-40' 


45 '40' 
44-20' 


45° 



BROWN & SHARPE MFG. CO. 



89 



TABLE III. 

ANGLE OF FACE-GEAR 





41 


40 


39 


38 


37 


36 


35 


34 


33 


32 


31 


30 


29 


28 


27 


12 


13^37' 
7o"59' 


t3°57' 
70^33' 


14-18' 
7o''6' 


14-39' 
69^35' 


15^1' 

69^5' 


15=24' 
68=32' 


15=49' 
67=59' 


i6=i5' 
67=23' 


16=43' 

66=45' 


17=13' 
66=5' 


17=43' 
65^23' 


18^15' 
64=39' 


18=51' 
63=53' 


19^27' 
63^3' 


20=5' 
62=9' 


13 


14^55' 
69^45' 


15^17' 
69'^i5' 


I5°39' 

68=47' 


16-1' 
68=15' 


16=25' 

67°43' 


16=51' 
67=9' 


17=19' 

66=33' 


17=46' 
65=56' 


18=16' 
65=16' 


18-48' 
64=34' 


1 9=21' 

63=51' 


19^57' 
63=5' 


2032' 
62=14' 


21=11' 
61=23' 


21=54' 
60=28' 


14 


I6-I3' 
68°3i' 


I6"34' 
680' 


16=59' 
67=29' 


17=24' 

66°56' 


17=50' 
66=22' 


18=17' 
65=47' 


18=45' 
65=9' 


19=16' 
64=30' 


19=48' 
63=48' 


20 20' 
63=6' 


20=56' 
62=20' 


21-34' 
61=32' 


22=13' 

60=41' 


22=55' 

59=47' 


23=38' 

58=50' 


15 


17-28' 
67°i6' 


17^53' 
66^45' 


I8"i8' 
66°I4' 


18-44' 
65=/io' 


19-11' 
65=3' 


19=40' 
64=26' 


20=11' 

63=49' 


20=44' 
63=8' 


21=18' 
62=24' 


21=53' 
61=39' 


22-31 ' 

60=51' 


23=10' 
60=2' 


23=51' 
59=9' 


24-35' 
58=13' 


25-20' 

57°I4' 


16 


i8"42' 
66°4' 


19^9' 
65^33' 


i9"35' 
■ 64^59' 


20=3' 

64°23' 


20-32' 
63=46' 


213' 

63=7' 


21=36' 

62=28' 


22-9' 
61=45' 


22=45' 
6i°oi' 


23=22' 
60=14' 


24=1' 
59=25' 


24=42' 
58=34' 


25=26' 
57=40' 


26=12' 
56=42' 


27=1' 
55=43' 


17 


64°54' 


20^24' 
64"2o' 


2o'^5i' 
63^45' 


2r-2i' 
63=9' 


21-53' 
62=31' 


2224' 
61=50' 


22-57' 

61=9 ' 


23=33' 
60=25' 


24=10' 
59=40' 


24=50' 

58^52' 


25=31' 

58°i' 


26-14' 
57=10- 


27=59' 
56=13' 


27=47' 
55°I5' 


28=37' 
54=13' 


18 


2I°9' 

63°45' 


21=37' 
63^9' 


226' 

62°34' 


22^38' 
61=56' 


23-9' 
61=17' 


23=43' 
60=35' 


24°i8' 
59=52' 


24^56 ' 

59=8' 


25=34' 
58=20' 


26=15' 

57=31' 


26=57' 
56=39' 


27=42- 
55=46' 


28=29' 
54=49' 


29=18' 
53=50' 


30=9' 
52=47' 


19 


22-20' 
62°36' 


22'i49' 
62°I' 


23=20' 
61=24' 


23-52' 

6o°44' 


24-26 ' 
60=4' 


25=1' 
59=21' 


25=37' 
58=37' 


26=15' 
57=51 ' 


26=56' 
57=4' 


27=38' 


28=22' 

55=22' 


29=8' 
54=26' 


29=56' 
53=28' 


30=43' 
52=28' 


31=40' 
51=24' 


20 


23030' 
61^30' 


24-I' 

6o'^53' 


24=32' 
6o''l4' 


25=6' 

59=34' 


25=40- 

58=54' 


26=16' 

58=10' 


36=55' 
57=25' 


27=34' 
56=38' 


28=15' 
55=49' 


54=58' 


29=44' 

54=4' 


30-31' 
53=9' 


31021' 
52=9' 


32-13' 
51=9 ' 


33=8' 
50=4' 


21 


24039' 
60^25' 


25=10' 
59°46' 


25=43' 
59^7' 


26=18' 
58°26' 


26-53' 
57=43' 


27030' 
57=0' 


28=10' 
56=14' 


28=50' 
55=26' 


29-32' 
54°36' 


30=17' 
53=43' 


31-4' 
52=50' 


31=52' 
51=52 ' 


32'43' 
50=53' 


33=36' 
49=50 ' 


34=31- 
48=47' 


22 


25°45' 
59'2o' 


26^19' 

58^41' 


26 53' 

58^' 


27'-'27' 

57'i9' 


28=5' 
56=35' 


28=43' 
55=51' 


29=22 ' 
55°4' 


30=5' 
54=17' 


30=48' 
53^26' 


31=34' 
52=32' 


32=22"' 
51=38' 


33=11- 
50=41' 


34=3' 
49=41' 


34=57 ' 
48=37- 


35=54- 
47=32' 


23 


26°52' 

58=16' 


27°26' 

57^38' 


28=0' 
56'^56' 


28-36' 
56^14' 


29=14' 
55=30' 


29=53' 
54=43' 


53^57' 


31=18' 

53°8' 


32=1' 

52=15' 


32=48' 
5i=2d' 


33=36' 
50=28' 


34=27' 
49=29' 


35=20' 

48=30' 


36=15- 

47=27- 


37=12' 
46=20' 


24 


27°57' 
57"'I5' 


28"3i' 
56"35' 


297' 

55^53' 


29^43' 
55'^"' 


30=22' 
54=26' 


31=2' 

53=40' 


3^=45' 
52=51' 


32=28' 
52=2' 


33=14' 
51=10' 


34=1' 
50=5' 


34=50' 
49=20' 


35=42' 
48=22' 


36=35' 
47=21' 


37=30' 
46=18' 


38=28' 
45=12' 


25 


28^59' 
56^15' 


29'34' 

55'\>4' 


30=12' 
54^52' 


30' '49' 
54-9' 


31=29' 
53=23' 


32=10' 
52=36' 


32=52' 
51=48' 


33=37' 
50=57' 


34=23' 
50=5' 


35="' 
49=11' 


36=0' 

48=14' 


36^52' 
47=16' 


37=47 ' 
46°15' 


38=43' 
45=11' 


39=41' 
44=5' 


26 


30-1' 
55°i5' 


30 '3H' 
54"34' 


31-14' 
53°52' 


31=54' 
53°8' 


32=34' 
52=22' 


33=15' 
5i°35' 


33=58' 
50=46' 


34=45' 
49=55' 


35=31' 
49°3' 


36=19' 
48=7' 


37=10' 
47=12' 


38=2' 
46=12' 


38=56' 
45^10' 


39=53' 
44=7' 


40=52' 
43^2' 


27 


31^3' 
54'I9 


31039, 
53^37' 


32=18' 
52^54' 


32^'57' 
52^9' 


33=37' 
51=23' 


34=20' 
50=34' 


35=3' 
49=45' 


35=49' 
48=55' 


36=36' 

48=2' 


37=25' 
47=7' 


38"i6' 
46=10' 


39=10' 
45=10' 


40=4 ' 
44=10' 


41=1' 
43=5' 


42° 


28 


32-2' 

53^22' 


32 '39' 
52^39' 


33 '18' 
5i'56' 


33^57' 
5i°ii' 


34=39' 
50=25' 


35=21' 
49°3i' 


36=7' 

48=47' 


36=52' 
47=56 


37=40' 

47=2' 


38-29' 
46°7' 


39=21' 
45=11' 


40=15' 
44=11' 


41=9' 
43=9' 


42=7' 




29 


32^59' 
52^27' 


33'33' 
51^44' 


3417' 
51^1' 


34=58' 
5o°i6' 


35=39' 
49=29' 


36=23' 

48=41' 


37=8' 
47=50' 


37=54 ' 
46=58' 


38=42' 
46=4' 


39=32' 
45=10' 


40^24' 
44=12' 


41=18' 
43=14' 


42=13' 






30 


33^57' 
5i''33' 


34^36' 
5o>' 


3515' 
5o'7' 


35-56' 
49=20' 


36=38' 
48=34 ' 


37=21- 

47=45' 


38=7' 
4655' 


38=53' 
46=3' 


39=43' 
45=9' 


40=32 ' 
44=14' 


41=25' 
43=17' 


42=18' 






31 


34^53' 
5o"4i ' 


35^31' 
49-57' 


36"! I' 
49"i3' 


36°52' 

48=28' 


37=35' 
47=39' 


38=20' 
46=52' 


39=5' 
46=1' 


39=52' 
45=10' 


40=41' 
44=15' 


41=32' 
43=20' 


42''23' 






32 


35°46' 
49°50' 


36^27' 
49'7' 


37'6' 

48''22' 


37-48' 
47-36' 


38=31' 
46=49' 


39=15' 
45=59' 


40=1' 
45=9' 


40=49' 
44=17' 


41=38' 
43=24' 


42=28' 






33 


36^39' 
48=59' 


37=19' 
48'r7' 


38-0' 
47=32' 


38^42' 
46=46' 


39=26' 
45=58' 


40=0' 

45°8' 


40=56' 
44=18' 


41=44' 
43=26' 


42=33' 






34 


37-32' 
48'i2' 


38^11' 
47=27' 


3^-53' 
4643' 


39-35' 
45=57' 


40°i8' 
45°8' 


41=4' 
44=20' 


41M9' 
43=29' 


42-37' 






35 


38^22' 
47^24' 


39'3' 
46 ■'39' 


39'44' 
45 '54' 


40-26 ' 
45^8' 


41=10' 
44=20' 


41=55' 
43=31' 


42=41' 






36 


39"' 

46'37' 


39^52' 
45°52' 


40-34' 
45"8 


4r'i5' 
44 '21' 


42=0' 

43=34' 


42=45' 






37 


40°o' 
45°52' 


40=40' 
45°8' 


4r'22' 

44^22' 


42-5' 
43^37' 


42=48' 






38 


4o'^47' 
45'7' 


41=28' 
44-24' 


42=9' 
43"39' 


42°5i' 






39 


41^32' 

44°24' 


42-14' 
43''40' 


42^56' 






40 


42-18' 
43^42' 


42^^58' 






41 


43°2' 







90 



BROWN & SHARPE MFG. CO. 



TABLE III (Continued). 

ANGLE OF FACE-GEAR 







26 


25 


24 


23 


22 


21 


20 


19 


18 


17 


16 


15 


14 


13 


12 




12 


20^46' 
6i°i4' 


21^31' 

6o"i5' 


22-18' 
59'io' 


23^'8' 
58=2' 


24=3' 
5649' 


25=2' 
55^32' 


26^3' 
54°?' 


27=11' 
52=39' 


28°25' 

51=3' 


29"43' 
49^17' 


31^11' 

47°25' 


32=44' 
45=24' 


34^26' 
43^14' 


36=16' 
40=50' 


38'i7' 




13 


22-37' 
59"29' 


23''26' 

58^28' 


24=15' 
57=21' 


25=9' 
56=11' 


26=6' 
54=56' 


27=8' 
53^36' 


28-14' 
52 '10' 


29^25' 
50-^39' 


30-42' 
49°2' 


32-4' 
47=16' 


33°34' 

45=22' 


35=10' 
43=20' 


36-55' 
41=9' 


38=48' 






14 


24=25' 


25"i6' 
56>' 


26"8' 
55\38' 


27=5' 

54=25' 


28 -'4' 

53^8' 


29=9' 
5i'47' 


30 20' 
50^20' 


31=33' 

48=47' 


32=52' 

47^8' 


34-18' 
45"i2' 


35=50' 
43=26' 


37=28' 
41=24' 


39^15' 








15 


26°II' 


27"3' 
55^7' 


27-58' 
53=58' 


28-58' 
52=44' 


30^0' 
51=26' 


31-6' 
50=2 ' 


32-19' 
48''33' 


33=36' 
47=0' 


34-56' 
45" 20' 


36-23' 
43^33' 


37=57' 
41^39' 


39^38' 








IS 


54"3S' 


28^45' 
53^31' 


29=43' 
52-21' 


3^=44' 
51^6' 


31=50' 

49^46' 


32^58' 
48 22' 


34^12' 
46''52' 


35=31' 

45=19' 


36=54' 
43\^8' 


38-23' 
4r'5i' 


39^57' 








17 


29^30 ' 
53"^' 


3o"26' 
52°o' 


3I--26' 
5048' 


32-28' 
49^32' 


33=35' 
48'ii' 


34=47' 
46=47' 


36^0' 
45"i6' 


37=21- 

43=43' 


38=45' 
42^1' 


4o''i5' 






z 
o 


18 


31' 5' 

51-^41' 


32-2' 
50^32' 


33^4' 
49=18' 


34^8' 
48=2' 


35=15' 

46=41' 


36^28' 
45'i6' 


37=45' 
43'^45' 


39-5' 
42=11' 


4031' 






z 


19 


32^36' 
50^18' 


33-36' 
49^8' 


34=38' 
47=54' 


35^49' 
46=36' 


36=53' 
4515 


38^6' 
4350' 


39=24' 
42 20' 


40^45' 






20 


34'^5' 

48\=i7' 


35-6' 
47-46' 


36^8' 
46=32' 


37^16' 
45° 14' 


38=26' 
43=52' 


39-39' 
42 27' 


40^57' 








21 


35'^3i' 
47^39' 


36-32' 
46=28' 


37=37' 
45^13' 


38=44' 
4356' 


39-54' 
42=34' 


41^8' 








22 


36°52' 
46^24' 


37=55' 
45=13' 


39=0' 

43=58' 


40^8' 
42''40' 


41=19' 








23 


38'i2' 
45°i2' 


39=15' 

44^1' 


40''20' 

42"46' 


4i°28' 








24 


39^29' 
44' 3' 


40^32' 
42^52' 


4i°38' 








25 


4o"43' 
42^57' 


4M6' 








26 


4l°53' 







ga = 90' 
gb = 90^^ 



(« + /?) 
(« + /?) 



BROWN & SHARPE MFG. CO. 



91 



TABLE IV. 

ANGLE OF FACE-GEAR 





72 


71 


70 


69 


68 


67 


66 


65 


64 


63 


62 


61 


60 


59 


58 


57 


12 


7°53' 
78°59' 


8^ 
78V 


8-7' 
78-^39' 


8I4' 
78^30' 


8-21' 
78-19 


8"28' 
78-10' 


8-35' 

77°59' 


8-43' 
77-47' 


8-51' 
77-37' 


8-59' 

77 '-25' 


9-7', 
77-13 


9-17' 
77-1' 


9^26' 
76-48' 


9-35' 
76-35' 


9^45- 
76-23' 


9^55' 

76^8' 


13 


8°4o 
7842' 


8^48 
78^2' 


S-^54' 
77'52' 


9^2' 

77V 


909' 
77-31' 


9-18' 
77^20' 


9-26' 
77°8' 


9-35' 
76-56' 


9-43' 
76-45' 


9-52' 
76 32' 


lo-i' 

76-19' 


10-11' 

76-7' 


10-21' 
75-53' 


10-31' 

75°39' 


10-42' 
75-26' 


10-53' 
75-11' 


14 


9^26' 
77°26' 


9.^4' 
77°i6' 


9^42' 
77°4' 


9^50' 
76°54' 


9-59' 
76-43' 


10^8' 
76-30' 


10-16' 
76°i8' 


10-25 

76-7' 


10-35' 

75°55' 


10-^45' 
75-41' 


io°54' 
75-28' 


ii'^5' 
75-15' 


u-16' 
75- 


11027' 
74-45' 


11-39' 
74-31' 


11-50' 
74-14'- 


15 


I0°I2' 

76°4o' 


10^21' 

76°29' 


io"30' 

76^8' 


10-38' 


10-47' 
75°55' 


io°57' 
75-43' 


ii°6' 
75-30' 


11-16' 
75-16' 


11-27' 
75°3' 


11-37' 
74"49' 


11-47' 
74-35' 


11-59' 
74°2i' 


I2°I1' 
74-7' 


12-22' 

73-50' 


12-35' 
73"35' 


12-46' 
73°i8' 


16 


io°59' 
75°55' 


xi°7' 
75''43' 


u"i7' 
75^31' 


11-26' 

75"2o' 


11-37' 
75°7' 


11-46' 

74-54' 


11-56' 
74-40 


12-7' 

74-27' 


12-17' 

74-13' 


12-29' 

73°59' 


12-40' 
73°44' 


12-52' 

73-28' 


13-5' 
73-13' 


I3;i8' 
72-56' 


13-30' 
72-40' 


13-45' 
72-23' 


17 


u°44' 
75°io' 


u"54' 
74°58 


I2°4' 

74°46' 


I2°I3' 

74°33' 


12-24' 
74°20' 


12^34' 
74-5' 


12-46' 
73°52' 


12-56' 
73-38' 


13-7' 
73-23' 


13^21' 
73°9' 


13-^32' 
72-52' 


13-45' 
72-35' 


13-59' 
72^21' 


14-11' 
72-3' 


14026' 
71-45' 


14-40' 
71-28' 


18 


I2«29' 

74°25' 


I2°40' 

74^^12' 


x2°50' 

740 


13" 
73°46' 


13-12' 
73-32' 


13-23' 
73-19' 


13-34' 
73-4' 


13-47' 
72-49' 


13-59' 
72-33' 


14-12^' 
72"i8' 


i4°24' 
72-2' 


14-38' 
7i°44' 


14-52' 

71-28' 


15-6' 
71-10' 


15^21' 
70-51' 


15-36' 
70-34 


19 


i3"M' 
73°4o' 


I3"25' 
73°27' 


13^36' 
73°M' 


13^48' 
73^ 


14- 
72°46' 


i4°ii' 
72-31' 


14-24' 
72-16 


14-36' 
72- 


14-49' 
71-45' 


15-2' 
71-28' 


15-15' 
7i°ii' 


15-30'^ 
70-54' 


15^44' 
70-30' 


15-59' 
70017' 


i6"i5' 
69-59' 


16-31' 
69-39' 


20 


I3°59' 

72°57' 


72°43' 


14^23' 

72''29' 


I4'34' 
72-14' 


14-46' 
720 


15-4' 
7i°45' 


15-11' 

71-29' 


15^-25' 

71-13' 


15-39' 
70-56' 


15-52' 

70-38' 


16-7' 
70-21' 


16-21' 
70-3' 


16-37' 
69-45' 


16-53' 
69-25' 


17-6' 
69-6 ' 


17-26' 
68-46' 


21 


I4°43' 
72°I3' 


14^55' 

71 V 


I5"8' 
7i°44' 


I5"2I' 

7i°29' 


i5"33' 
71-13' 


15-46' 
70-58' 


15-59' 
70-41' 


16-13' 
70-25' 


16^28' 

70-8' 


16-42' 
69-50' 


16-58' 
69-32' 


17-13' 
69-13' 


17-28' 
68-54' 


17-46' 
68-34' 


I6°2' 
68-14' 


18-30' 
67-52' 


22 


I5°27' 
71^29' 


15^40' 
71^^14' 


I5"53' 
70°59' 


16^6' 
70^44' 


16-20' 
70-28' 


16153' 
70-11' 


16-47' 
69°55' 


17-2' 
69-3^' 


17-16' 
69-20' 


17-31' 
69-1' 


17049 
68-43' 


18-3'^ 
6S°23' 


18-20' 
6S-4' 


18-37' 
67°43' 


18-56' 
67-22' 


19-13' 
67-1' 


23 


I6''I2' 

7o°46' 


i6°24' 
70^30' 


i6°38' 
70-16' 


i6°5i' 
69°59' 


17-5' 
69-43' 


17^20' 
69^26' 


17-34' 
69-8' 


17 "50' 
68V 


ib-5' 
68-33' 


18-20' 

68°i4' 


18-36' 
67-54' 


i^°o4' 
67-34 


19-10' 
67-14 


19-28' 
66°52' 


19-48' 
66-32' 


20-5' 

66°9' 


24 


70^3' 


I7°9' 
69°47' 


17°22' 

69°32' 


17-37' 
69"'5' 


17-51' 
68-59' 


i8"6' 
68-40' 


18-21' 
68-23' 


18-37' 
68-5' 


18V 
67-45' 


19-9 ' 
67-^27' 


19-26' 
67-6' 


19-44' 
66^46' 


20^1' 
66"25' 


20O19' 
66-3' 


20-39' 
65-41' 


20^^8' 

65" 1 8' 


25 


I7"39' 
69°2i' 


I7°52' 

69°4' 


i8"6' 
68°48' 


I8"2I' 

68=31' 


18-36' 
68-14' 


18-52' 
67°56' 


19-7' 
67-37' 


19024' 
67°i8' 


19-40' 
67- 


19-57' 
66°39' 


20'5l4' 

66°20' 


20-32' 
65-58' 


20-51' 
65-37' 


21°10' 
65-14' 


21029' 
64-51' 


21-50' 
64-28' 


26 


I8°2I' 

68°39' 


18^36' 

68°22' 


i8"5i' 
68°5' 


19-5' 

67°48' 


19-22' 
67-30' 


19-37' 
67-13' 


19-53' 
66°53' 


20-10' 
66-34' 


20^26' 
66-14' 


2o°45' 
65-53' 


21<'2' 

65-32' 


21°2I' 

65-11' 


21-41' 

64-49' 


22 

64-26' 


22020' 
64-2' 


22°41' 

63-39' 


27 


19-3' 
67^57' 


19-19' 

67°39 


r9°34' 

67°22' 


19-49' 
67°5' 


20-6' 
66-46' 


20-22' 

66-28' 


20^^38' 
66-8' 


20-56' 
65-48' 


21-13' 

65-29' 


21^^32' 

65-8' 


21-50' 
64-46' 


22010' 
64-24' 


2229' 
64-1' 


22^49' 

63-39' 


23OIO' 
63^14' 


23-31' 
62^49' 


28 


I9°46' 
67^16' 


20-1' 
66°59' 


20''I7' 

66°4i' 


20-32 ' 

66°22' 


20-50' 
66°4' 


21-6' 

65-44' 


21'^' 
65-25' 


21041' 
65-5' 


22° 

64-44 


22-16' 
64-22' 


22-37' 

64-1 ' 


22°56'| 23-17' 
63-381 63"! 5' 


23-38' 

62-5.' 


23-59' 
62-27' 


24-21' 

62°l' 


29 


20'-17' 

66'^35' 


20-43' 
66°i7' 


20-59' 
65°59' 


2i°i;6' 
65-40' 


21-33' 
65-21' 


21"50' 

65°2' 


22-3' 
64-42' 


22^27' 
64-21' 


22^45' 

63-59' 


23-5' 
63-37' 


23^25' 
63-15' 


23-44' 
62-52' 


24-4' 
62-2S' 


240^'5' 
62°5' 


24048' 
61-40' 


25-10' 

6i°i4' 


30 


2X"9' 

65°55' 


2J025' 

65°37' 


2I°42' 

65°i8' 


21-58' 
64-58' 


22^15' 
64-39' 


22^34^ 

64°j8^ 


22°52' 
63-58' 


23010' 
63-38' 


23-30' 

63-16' 


23050' 
62-54' 


24-10' 
62-30' 


24-30' 
62"7' 


24-51 
61-43 


25012' 
61° 18' 


25-36' 

6o"54' 


25-59' 
60-27' 


31 


2I"50' 

65°i4' 


22-6' 

64°56' 


22°24' 

64°36' 


22-41' 
64°i7' 


22°59' 

63^57' 


23-17' 
63-37' 


23-35' 

63^15' 


23-55' 
62-55' 


24-14' 

62-32' 


24-34' 
62-10' 


24°54' 
61-46' 


25-17' 
61-23' 


25-3S; 
60-58 


25"5S' 
6o°34 


26°22' 

60^8' 


26"46' 
59-42' 


32 


22^31' 
64°35' 


22°48' 

64^^16' 


23-4' 
63-56' 


23-23' 
63-37' 


23040' 
63-16' 


23-59' 
62"55' 


24-1 h' 
62V 


24-38' 
62-12' 


24-58' 
61-50' 


25-18' 
61-26' 


25"39' 
61-3' 


26-1' 
60-39' 


26^-23' 
60-15' 


26-45' 
59-49' 


27^9' 
59-23' 


27^34' 
58-56' 


33 


23"IO' 

63°56' 


23^28' 
63^36' 


23^46' 
63°i6' 


24-4' 
62-56' 


24-22' 
62-36' 


24-41' 
62-15' 


25-1' 
61-53 


25^ ^1' 
61-31 


25-42' 
61-8' 


26-2' 
60-44' 


6o°2o' 


26°45'| 27-9' 
59°55'| 59-31' 


27-31' 
59V 
28°l6' 
58'-22' 


27-56' 
58-38' 


28-19' 
58-ii' 


34 


23^51' 

63°r7' 


24"b' 

62''58' 


24-27' 
62"37' 


24-44' 
62"i6' 


25-4' 
61-56' 


25-23' 
61-33' 


25-42' 

61-12' 


26-3' 
60-49 


26-24' 

60-26' 


26-46' 
60-2' 


27-7' 
59-37' 


27^29' 
59-13' 


27-52' 
58-4^' 


28-40' 
57°54' 


29-5' 
57-27' 


35 


24^29' 
62°39' 


24048' 
62°i8' 


6i°58' 


25^25' 
61-37' 


25"44' 
6i°i6' 


26-'4' 
60-54' 


26'24' 

60-32' 


26-45' 
6o°9' 


27 'b' 
59-44' 


27-26' 
59-22' 


27550' 
5^-56' 


26^13' 
58''3i' 


28-3*-/ 
56-6' 


29^1' 
57°39' 


29^25' 
57-11' 


2950' 
5644' 


36 


25-9' 
62^1' 


25027' 
6i°4i' 


25°45' 
6i°2o' 


26-5' 
60-59' 


26-24' 
60-36' 


26-45' 
6o°i5' 


27-5' 
59°5'' 


27^26' 
59-28' 


27-4b' 
59°4' 


26 "^lO' 
58-40' 


28-33' 
58-15' 


26°56' 

57-50' 


29^20' 
57 '24' 


29-^43' 
56-57' 


30-9 ' 
56-29' 


56^1' 


37 


25^47' 
6i°23' 


26-6' 

6l°2' 


26-25' 

6o°4i' 


26-44' 
6o°2o' 


27-4' 
59-58' 


27"25' 

59°35' 


27^45' 
59-13' 


28-7' 
58°49' 


28-29' 
58-25' 


28-51' 


29015' 
57-35' 


29-38 

57-10' 


3c- 2- 
56-42- 


30^27' 
56-15' 


30-52' 
55-48' 


31-18' 
55-20' 


38 


26^25' 
60^47' 


26°44' 
6o°26' 


27"4' 
6o°4' 


27 '24' 
59-42' 


27-44' 
59° 20' 


28-4' 
58-56' 


28-26' 
58-34' 


28-47' 
58-9' 


29-9' 
57-45' 


29"33' 
57-21' 


29-55' 
56-55' 


30-io 

56-30 


30-44- 
56-2' 


3i'9' 
55°35' 


31-35' 
55-7' 


32-1 ' 
54°39' 


39 


27^-3' 
6o"9' 


27°22' 

59°48' 


27-42' 
59'^28' 


28''2' 

59°4' 


2S-22' 
58-42' 


28-43' 
58-19' 


29-5' 
57-55' 


29'=27' 

57^31' 


29-49' 
57^7' 


30^10 
56-41' 


30-'36' 
56-16' 


31-1' 
55-49 


31-20' 
55-22' 


31-60' 
54-54' 


32016' 
54-28' 


32°-»3' 
53°57' 


40 


27-40' 
59'34' 


28 "2' 
59°i4' 


28"20' 

58>' 


28^^41' 
58-27' 


29-1 ' 
58-5' 


29^12' 
5742' 


29"43' 
57-17' 


30-6; 

5654 


30-26' 
5628' 


30-52' 
56-'2' 


31-17' 
55°37' 


31-42 

55° 10' 


32'6' 

54-44- 


32-31' 
54=15' 


32^57' 
53-46' 


33-24' 
5o°i8' 


41 


28^17' 


28"37' 
,S8°^7' 


28^57' 
58°i5' 


29-18' 
57°52' 


29-39' 
57-29' 


30-1' 
57-4' 


30-22' 
56-40' 


30'45' 
56°I5' 


55°5i' 


31-31' 
55-25' 


31-55' 
54°59' 


32-20 
54"32' 


32^46' 
54°4' 


33-12' 
53-36' 


33-^39' 
53°7' 


34-''' 
52^38' 


42 


28-52' 

58°22' 


29°I2' 


29°33' 
57°39' 


29"55' 
57-15' 


30-16' 
56-52' 


30^38' 
56°28' 


K 
564' 


31^23' 
55-39' 


31-47' 
55-13' 


32-10' 
54-48' 


32-35' 
54°2i' 


33° 
53°54' 


33^26' 
53-26' 


33°32' 
52-38' 


34-19' 
52-29' 


34^46' 
52'' 



92 



BROWN & SHARPE MFG. CO. 



TABLE IV (Continued). 
ANGLE OF FACE-GEAR 





56 


55 


54 


53 


52 


51 


50 


49 


48 


47 


46 


45 


44 i 43 


42 


12 


io''6' 
75^54' 


10=16' 
75'40' 


10=28' 
7524' 


10-39' 

75'9' 


10=52' 

74^52' 


113' 
74-37' 


11 15'j 1130' il='43' 
74- 15' ! 73"5S' 73^39' 


1158' 
73^20' 


12=13' 
7239' 


12=29' 
72'37' 


i2-'45' 
72-15' 


13=1' 
71=51' 


13=19- 
71=25' 


13 


11^4' 
74^56' 


11 16' 
74=40' 


11-28' 
7424' 


11-42' 

74-8' 


ii-54'i 128' 1 12-20' 1237', 1251' 
73"-50'; 73-32'' 73 12', 72'53'' 72-33' 


137' 
72=11' 


1323' 
7149' 


1340' 
71= 26 


1358' 
71-2' 


14-10' 
70=38' 


14=35' 
70- 11' 


14 


12-2' 

73'5S' 


12=16' 
73^42' 


12^29' 
73"25' 


12^43' 
73^7' 


12=57' 
72-'4^ 


13=11' 
72V 


13-26' 
72^8' 


1342' 
71^48' 


13-59' 
71=27' 


1415' 
71-5' 


1433' 
70-41' 


14-51 ' 
7017' 


15-10' 
69^52' 


15=50' 15=51' 
69=26'! 68=59' 


15 


13^1' 
73^1' 


13-16' 
72=44' 


13^28' 
72^26' 


I3"43' 
72^7' 


I3'59' 

71=49' 


I4°M' 
71-28' 


14-^30' 

7r'6' 


14^47' 
70-45' 


15=5' 

70=23' 


15^23' 
69=59' 


1542' 
6934' 


16- 1' 
69=9' 


, 1622' 
68-42' 


16=45' 1 ^7=5' 
68-15'! 67=47' 


16 


13 09' 
72'5' 


14=13' 
71=47' 


14-28'! 14-44' 
71=28' 71^8' 


15=1' 
70=49' 


15^17' 
70=27' 


15^5' 

7o°5' 


15=52' 
69=42' 


16=11' 
69=19' 


68=54' 


16=50' 
68"28' 


17=10' 
68=2' 


1732' 
67-34' 


I7=56't 18=18' 
676' : 66=36' 


17 


14=57' 
7i"'9' 


15=11' 
70=49' 


15^28 'j I5°44'i 16-1' 
70=30' 7o'io' 59''49' 


16-18' 
69^26' 


i6"37' 
69-3' 


16=55' 
68=39' 


17-15' 
68=15' 


1736' 
67-50' 


17 57'i 18 20' 18-43' 
67=23'! 6654'' 6627' 


19-6' 1 19=31' 
65-5S' 65=27' 


18 


15-52' 

70-14' 


16-7' 
69'-53' 


16-26'! 16-42'! 17-1' 
69=34' 69=12'! 68^49' 


17-20' 
68^26' 


17^39/ 
68 ''s' 


17=58' 
67 38' 


18=20' 

67'i2" 


18--41' 
66=47 


193 ' 
66=19' 


1927'i 19 50' 
65 51'' 65°20' 


20^18', 20:42' 
64^50'! 64=18 


19 


16-49' 
69-19' 


17-2' 
68\5S' 


17=23' 
68^37' 


17=41 '1 18= 
68 =i5'| 67^-52' 


l8°2l' 

67^29' 


i8°40' 

67°4' 


19 -1' 
66^37' 


1922' 
66^12' 


19-46' 
65-44 


20=8' ! 20 34' 

65= 16' ! 64^6' 


20-59' 
64'-! 5' 


2I-=24' 21-52' 

63^44' ! 63=10' 


20 


i7''44' 
68-^26' 


18 -I' 
68=3' 


18^19' 
67-41' 


iS'40'l 19° 
67=18': 66°54' 


I9°20' 

66°30' 


19=41' 
66=5' 


20-2 ' 
6533' 


20-25' 
65^11' 


20^49' 

64 '43' 


21-13' 21-39' 
64=13'! 63-43' 


223' 

63=ir' 


22*32' 
62^38' 


23- 
62=4' 


21 


18^39' 
67^31' 


1^=57' 
67-9' 


19-16 ' 
65^^46' 


19=37', 19=58' 
66=23' 65=58' 


20-^19' 

65=33' 


20-41' 

65-7' 


213' 
64=39' 


21=27' 
64=11' 


21-52' 
63=42' 


2217' 2245' 
63=13'. 62 41' 


23=10' 
62-8' 


23^38' 
61 '34' 


24=8' 
61- 


22 


I9'-32'| I9''52' 
66--3S'| 66^-16' 


20-12' 

65'52' 


20'35'j 20^55' 
65'27| 65-3' 


21017' 
64^37' 


21-40' 
64°io' 


22-3' 
63-41' 


2217' 
63^13' 


22=53', 23-19'! 23=46' 
62-43'' 62=11' 1 6i°40' 


24=15' 
61=7' 


24-44' I 25-14' 
60^32 'i 59=56' 


23 


20^25'j 20^47' 
65^47 'i 65^23' 


.2r8' 
64'5S' 


2r29' 21^52' 
6433' 64=8' 


22'13 
63^41' 


22-37' 
63^13' 


23-2' 
62=44 ' 


^23- 27' 
62=15' 


23-54' 24 21' , 24:49'j 25-18'! 25-47'i 26-Ib' 

61=44' 61=13'! 60=41'! 606' 5931'! 58^54' 


24 


21=19' 
64=55' 


21-39' 
64-31' 


22-1' 
64^5' 


22-'24' 2246' 
63=40', 63 14' 


23^0' 

62^46' 


23-36' 
62^19' 


24 = 
61=48' 


24-26' 
6riS' 


24=53' 
60 '47' 


25-21' 
60 15' 


25=49 '1 26-20' 
59=41' j 59=6' 


2651' 
58^31' 


27-23' 
5733' 


25 


22-11- 

64"^5' 


22^33' 

63=39' 


22-56' 
63^14' 


23=i8'| 23-41' 
62='48', 62=21' 


24' 7' 
61-53' 


24-32' 
61=24' 


24-57' 
60=53' 


25=24' 
60=22' 


25=52' 
59=50' 


26=20' 
59=iS' 


26=50' 1 27- 2 1' 
58=44'! 58-9' 


2732' 

57^32' 


28=26' 
56-54' 


2S 


23-3' 1 23-25' 
63-15'' 62V 


23-47' 
62°23' 


24'i3'[ 24-36' 
6i°56't 61=28' 


25-1 ' 
60-59' 


25=2»- 
60=30' 


25-53'! 26=21' 
59-59'! 59^27' 


26-49' j 27-19'! 27=49'j 28=21' 
58=55' _58:2i': 57^47 'i 57^11' 


28-54' 
56-34' 


29-27' 
5535- 


27 


23-53' [24-16' 
62' 25' I 6r58' 


24=40' 
61=32' 


25=5' 1 25-29' 
61^5'! 60=37' 


25-55'! ^^^^' 
607' 1 59^38' 


26=48'! 27=17' 
59-5' i 5833' 


27'46' 
58' 


28=16' 1 28=47' 29=19' 
57-'26'! 56=51'' 5^'i5' 


2932' 
55"3S' 


30-27' 
5439' 


28 


24'44'1 25-7' 
6i'36' 6i'9' 


25--31' 

60=43' 


25-56'! 26-22' 
6o=i4'| 59''46' 


26=48'; 27--15' 
59-16' 58 '-45' 


27=43' 
58^13' 


28=12' 
57^42' 


28''42' 

5/8' 


29=12' 29=43' 30=16' 
5632'!5537'i 55^20' 


30-50'j 31=25' 
54^42'! 543' 


29 


25=33' 
60 "^47' 


25'57' 
60-21' 


26-22' 

59'^52' 


26-47' 1 27=14' 
59"25'| 58 56' 


27-40' 
58^26' 


28=8' 
57-54' 


28=36'! 29 5' 
57 =22' 156^49' 


29-37' 
56^15' 


30 8' ! 30-40 ' 
55 40'! 554' 


31=13' 
54=27' 


31-48'! 32=23' 
53^48' 1 53-9' 


30 


26=22' 
60= 


26^47' 
59^33' 


27=1 2' j 27-3S' 
59'6'i 58^36' 


2J5-4' 
58^6' 


28--32' 

57^36' 


29^ 

5r-4' 


29=28' 
56-32 


29=58' 
55^58' 


30-30' 
55^24' 


31=2' !3i34' 
54-48'! 54^12' 


32^8' 
5334' 


32-44'i 33=19' 
52 54'! 52-15' 


31 


27-10' 
59°i4' 


27034' 
58-^46' 


2S-3' 28- 27' 
58=15' 57^49' 


28-54' 
57=iS' 


29=23' 

56'-47' 


29-51' 

56-I5' 


30=20' 
55=42' 


30 '52' 

558' 


31-22' 

5434' 


31=55' 
53=57' 


32-29' 
53'2i' 


33=2' 
52=42' 


33-39' 
523' 


34-15' 
51-23' 


32 


27^5«' 
58^28' 


28-23' 
57^59' 


2S'-49' 
57^31 ■ 


29^17' 
57'!' 


29 33' 
56=41' 


30-12' 
56' 


30-42' 
55=28' 


31=10' 
54=54' 


3142' 
54 20' 


32-14' 
53^44' 


32=46' 

53^' 


33=21' 

52=^1' 


3336' 
5152' 


3431' 
51-13' 


35-«' 
5032' 


33 


28'-'45' 
57"43' 


29^10' 
57=14' 


29=37' 
56^45' 


30-5' J30--32' 
56"i5'l 55^49' 


31=1' 
55-^13' 


31=31' 
54=39' 


32=1' 
54=5' 


3232' 
53"32' 


33=4' 
5236' 


33=38' 
52-20' 


34=12' 
51=42' 


34'47' 
51-3' 


35-24' 36" 
50-22'! 49'-'4i' 


34 


29^31'! 29-57' 
56'-'59' 56^29 • 


30-24 
56= 


30°5i' 
55-29' 


31-20- 
54°58 


31=49' 
54'27' 


32=19' 
53-53' 


32=50' 
53'20' 


33-22' 

52^44' 


33=54' 
52=8' 


34=28' 
51=32' 


35-6' 
50=50' 


35-38' 
50-14' 


36-15'i 3633' 
49"35" 4833' 


35 


3G=i5'|30^2' 
56"! 5' 55"46' 


310X0' 
55'i6- 


31-38'! 327' 
54=44'l 54=13' 


32=36' 
53'40' 


33-7' 
53-7' 


33^3S' 
52=34' 


34-10' 
51-58' 


34=42' 
51=22' 


35=17' 
50=45' 


35=51' 
50=7' 


36-27' 
49^27' 


373' 

48=47' 


37-42' 
48-6' 


33 


31" 31-27' 
5532': 55^3' 


31=55' 
54^33' 


32=23' 
54^-1' 


32=53' 
53" 28' 


33^23' 
52^57' 


33=53' 
52-23' 


34=25' 
51-40' 


34^57' 
51-13' 


3531' 
50-37' 


36=5' 
49'59' 


36=41'; 37=16' 
49=21 '1 48=42' 


37-53' 
48^^!' 


3832' 
47-20' 


37 


31-45', 32-'i2' 
54'M9'! 54' 20' 


32--40' 
53'50' 


33^8' 
53=18' 


33'38' 
52=46' 


34^9' 
52=13' 


34=40' 
51=40' 


35^12' 
5i"4' 


35°43' 
50-29' 


36-18' 
49^52' 


36^51' 
49-15' 


37=27' 
48=37' 


38'-4' 
4736' 


38-42' 
47=16' 


39-20' 
46-34' 


38 


3227' 
54 9' 


32^56' 
53^38' 


33=24' 
53'^8' 


33=52'; 34^22- 
52=381 52'4' 


34'^54' 135=24' 
51- 30' 150=56' 


35^57' 
50-21' 


36-29' 
49-45' 


37 '3' 
49-9' 


3738' 
4S-32' 


38=14' 
47-52' 


3831' 
47^13' 


39-28' 
46^2' 


40-7' 
45-51' 


39 


33-10' 
53-2S' 


33-39' 
52^57' 


34'-7 ' 
52=27' 


34=36'! 35-7' 
5i=54'| 51=21' 


35 37' 
50-49' 


36=9' 
50'- 1 5' 


3641' 
49^39' 


37-15' 
49'^3' 


37°48' 
48 "26' 


38-24' 
47^48' 


39-= 
47'io' 


39'36' 
46=30' 


40-13' 
45^49' 


4033' 
45^7' 


40 


33-52' 
52-48' 


34-21' 
52-17' 


34=50' 
5i'^46' 


35=18' 
51^14' 


35^49' 
50^41' 


36^20' 
50-^8' 


36-53' 
49-33' 


3725' 

48^57' 


37^58' 
48^22' 


38°33' 
47°45' 


39-8' 
47"6' 


39="44' 
46=^28' 


40=20' 
45^-48' 


40-58' 
45^8' 


4137' 
44-25' 


41 


34^33' 
52-'9 ' 


35-3' 
51^37' 


35^31' 
5i'7' 


36- 1' 

50=35' 


36:31' 
50 I' 


37'3' 
49''27 ' 


3735' 
48^53' 


38-7' 
48°I7' 


38"4i' 
47-4 1' 


39-16' 
47°4' 


3931' 
46-25' 


40-27' 
45"47' 


41=5' 
45-7' 


41-42' 
44-26' 


41-22' 
43-44' 


42 


35^14 • 
51-30' 


35 43' 
5o'59' 


36^12' 
50^28' 


36=42^ 
49'~54' 


37=13' 
49°2i' 


37-44' 

48'"48' 


38-17' 
48^13' 


38T19' 
47"37' 


39-23' 

47-I' 


39-58'! 4o-j4' 
46^24'! 45^46' 


41-9' 
45'7 ' 


41=47' 
44" 27' 


42-26' 
43-46' 


43^' 



Table for Selecting Cutters for 
Bevel Gears 



94 



BROWN & SHARPE MFG. CO. 



CUTTERS FOR USE IN CUTTING BEVEL GEARS. 

PINION. 







12 


13 


14 


15 


16 


17 


18 


19 


20 


21 


22 


23 


24 


25 


26 


27 


28 


29 


30 




12 


7-7 








































13 


6-7 


6-6 






































14 


5-7 


6-6 


6-6 




































15 


5-7 


5-6 


5-6 


5-5 


































16 


4-7 


5-7 


5-6 


5-6 


5-5 
































17 


4-7 


4-7 


4-6 


5-6 


5-5 


5-5 






























18 


4-7 


4-7 


4-6 


4-6 


4-5 


4-5 


5-5 




























19 


3-7 


4-7 


4-6 


4 6 


4-6 


4-5 


4-5 


4-4 


























20 


3-7 


3-7 


4-6 


4-6 


4-6 


4-5 


4-5 


4-4 


4-4 
























21 


3-8 


3-7 


3-7 


3-6 


4-6 


4-5 


4-5 


4-5 


4-4 


4-4 






















22 


3-8 


3-7 


3-7 


3-6 


3-6 


3-5 


4-5 


4-5 


4-4 


4-4 


4-4 




















23 


3-8 


3-7 


3-7 


3-6 


3-6 


3-5 


3-5 


3-5 


3-4 


4-4 


4-4 


4-4 


















24 


3-8 


3-7 


3-7 


3-6 


3-6 


3-6 


3-5 


3-5 


3-4 


3-4 


3-4 


4-4 


4-4 
















25 


2-8 


2-7 


3-7 


3-6 


3-6 


3-6 


3-5 


3-5 


3-5 


3-4 


3-4 


3-4 


4-4 


3-3 














26 


2t8 


2-7 


3-7 


3-6 


3-6 


3-6 


3-5 


3-5 


3-5 


3-4 


3-4 


3-4 


3-4 


3-3 


3-3 












27 


2-8 


2-7 


2-7 


2-6 


3-6 


3-6 


3-5 


3-5 


3-5 


3-4 


3-4 


3-4 


3-4 


3-4 


3-3 


3-3 










28 


2-8 


2-7 


2-7 


2-6 


2-6 


3-6 


3-5 


3-5 


3-5 


3-4 


3-4 


3-4 


3-4 


3-4 


3-3 


3-3 


3-3 








29 


2-8 


2-7 


2-7 


2-7 


2-6 


2-6 


3-5 


3-5 


3-5 


3-4 


3-4 


3-4 


3-4 


3-4 


3-3 


3-3 


3-3 


3-3 






30 


2-8 


2-7 


2-7 


2-7 


2-6 


2-6 


2-5 


2-5 


3-5 


3-5 


3-4 


3-4 


3-4 


3-4 


3-4 


3-3 


3-3 


3-3 


3-3 




31 


2-8 


2-7 


2-7 


2-7 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


3-4 


3-4 


3-4 


3-4 


3-4 


3-3 


3-3 


3-3 


3-3 


rr 


32 


2-8 


2-7 


2-7 


2-7 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-4 


2-4 


3-4 


3-4 


3-4 


3-3 


3-3 


3-3 


3-3 


< 
III 


33 


2-8 


2-8 


2-7 


2-7 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


3-4 


3-4 


3-4 


3-3 


3-3 


3-3 


o 


34 


2-8 


2-8 


2-7 


2-7 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


3-4 


3-3 


3-3 


3-3 




35 


2-8 


2-8 


2-7 


2-7 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 


3-3 


3-3 




36 


2-8 


2-8 


2-7 


2-7 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 


2-3 


2-3 




37 


2-8 


2-8 


2-7 


2-7 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 


2-3 


2-3 




38 


2-8 


2-8 


2-7 


2-7 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 


2-3 




39 


2-8 


2-8 


2-7 


2-7 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 


2-3 




40 


1-8 


2-8 


2-7 


2-7 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 


2-3 




41 


1-8 


1-8 


2-7 


2-7 


2-6 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 


2-3 




42 


1-8 


1-8 


2-7 


2-7 


2-6 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 


2-3 




43 


1-8 


1-8 


1-7 


2-7 


2-6 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 




44 


1-8 


1-8 


1-7 


1-7 


2-6 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 




45 


1-8 


1-8 


1-7 


1-7 


i-b 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 




46 


1-8 


1-8 


1-7 


1-7 


i_7 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 




47|i-S 


1-8 


1-7 


1-7 


1-7 


1-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 




48 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


2-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 




49 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 




50 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 




51 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 




52 


1-8 


i-S 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-5 


1-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 




53 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-5 


1-5 


r-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 




54 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 




55 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 



BROWN & SHARPE MFG. CO. 

CUTTERS FOR USE IN CUTTING BEVEL 

(Continued.) 
PINION. 



95 



GEARS. 





12 


13 


14 


15 


16 


17 


18 


19 


20 


21 


22 


23 


24 


25 


26 


27 


28 


29 


30 


56 


1-8 


1-8 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


2-4 


2-4 


2-4 


2-4 


2-4 


57 


1-8 


1-8 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


2-4 


2-4 


2-4 


2-4 


58 


1-8 


1-8 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


2-4 


2-4 


2-4 


59 


1-8 


1-8 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


2-4 


2-4 


60 


1-8 


1-8 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


2-4 


61 


1-8 


1-8 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


62 


1-8 


1-8 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


63 


1-8 


1-8 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


64 


1-8 


1-8 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


65 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


66 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


67 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


68 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


69 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


70 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


71 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


12 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


73 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


74 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


75 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


76 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1.-4 


1-4 


1-4. 


77 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


78 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


79 


1-8 


1-8 




1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


80 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


81 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


82 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


83 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


84 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


85 


I.- 8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


86 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


87 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1 6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


88 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


89 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


i-5|i-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


90 


1-8 


1-8 


1-7 


17 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


91 


1-8 


1-8 


J -7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


92 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


93 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


94 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


95 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


96 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


97 


1-8 


1-8 


1-7 


1^7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


98 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


99 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


100 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 



Natural Sines and Cosines 
Natural Tangents and Cotangents 



98 BROWN & SHARPE MFG. CO. 

NATURAL SINES AND COSINES 



/ 








I 





2 





3 





4° 


t 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 





.00000 




.01745 


.99985 


.03490 


.99939 


■05234 


■99863 


.06976 


.99756 


60 


I 


.00029 






.01774 


.99984 


.03519 


.99938 


.05263 


.99861 


.07005 


.99754 


59 


2 


.00058 






.01803 


.99984 


.03548 


.99937 


.05292 


.99860 


.07034 


.99752 


58 


3 


.00087 






.01832 


.99983 


.03577 


-99936 


.05321 


.99858 


.07063 


.99750 


57 


4 


.00116 






.01862 


.99983 


.03606 


■99935 


.05350 


.99857 


.07092 


.99748 


56 


5 


.00145 






.01891 


.99982 


.03635 


.99934 


.05379 


.99855 


.07121 


.99746 


ss 


6 


.00175 






.01920 


.99982 


.03664 


.99933 


.05408 


.99854 


.07150 


.99744 


54 


7 


.00204 






.01949 


.99981 


.03693 


.99932 


.05437 


.99852 


.07179 


•99742 


S3 


8 


.00233 






.01978 


.99980 


.03723 


.99931 


.05466 


.99851 


.07208 


•99740 


52 


9 


.00262 






.02007 


.99980 


.03752 


.99930 


.05495 


.99849 


.07237 


.99738 


51 


10 


.00291 






.02036 


.99979 


.03781 


.99929 


.05524 


.99847 


.07266 


■99736 


so 


11 


.00320 


■ .99999 


.02065 


.99979 


.03810 


.99927 


.05553 


.99846 


.07295 


■99734 


49 


12 


.00349 


.99999 


.02094 


.99978 


.03839 


.99926 


.05582 


■99844 


.07324 


■99731 


48 


13 


.00378 


.99999 


.02123 


.99977 


.03S68 


.99925 


.05611 


.99842 


.07353 


.99729 


47 


14 


.00407 


.99999 


.02152 


.99977 


.03897 


.99924 


.05640 


.99841 


.07382 


■99727 


46 


IS 


.00436 


.99999 


.02181 


.99976 


.03926 


■99923 


.05669 


■99S39 


.07411 


.99725 


45 


16 


.00465 


.99999 


.02211 


.99976 


.03955 


.99922 


.05698 


■99838 


.07440 


.99723 


44 


17 


.00495 


.99999 


.02240 


.99975 


.03984 


.99921 


.05727 


■99836 


.07469 


.99721 


43 


18 


.00524 


.99999 


.02269 


.99974 


.04013 


.99919 


.05756 


■99834 


.07498 


.99719 


42 


19 


.00553 


.99998 


.02298 


.99974 


.04042 


.99918 


.05785 


■99833 


•07527 


.99716 


41 


20 


.00582 


.99998 


.02327 


.99973 


.04071 


.99917 


.05814 


.99831 


.07556 


.99714 


40 


21 


.00611 


.99998 


.02356 


.99972 


.04100 


.99916 


.05844 


.99829 


.07585 


.99712 


39 


22 


.00640 


.99998 


.02385 


.99972 


.04129 


.99915 


.05873 


.59827 


.07614 


.99710 


38 


23 


.00669 


.C3998 


.02414 


.99971 


.04159 


.99913 


.05902 


.99826 


.07643 


.99708 


37 


24 


.00698 


.99998 


.02443 


.99970 


.04188 


.99912 


.05931 


.99824 


.07672 


.99705 


36 


25 


.00727 


.99997 


.02472 


.99969 


.04217 


.99911 


.05960 


.99822 


.07701 


.99703 


35 


26 


.00756 


.99997 


.02501 


.99969 


.04246 


.99910 


.05989 


.99821 


.07730 


.99701 


34 


27 


.00785 


.99997 


.02530 


.99968 


.04275 


.99909 


.06018 


.99819 


•07759 


.99699 


33 


28 


.00S14 


.99997 


.02560 


.99967 


.04304 


.99907 


.06047 


.99817 


.07788 


.99696 


32 


29 


.00844 


.99996 


.02589 


.99966 


.04333 


.99906 


.06076 


.9981s 


.07817 


.99694 


31 


30 


.00873 


.99996 


.02618 


.99966 


.04362 


.99905 


.06105 


•99813 


.07846 


.99692 


30 


31 


.00902 


.99996 


.02647 


.99965 


.04391 


.99904 


.06134 


.99812 


.07875 


.99689 


29 


32 


.00931 


.99996 


.02676 


.99964 


, .04420 


.99902 


.06163 


.99810 


.07904 


.99687 


28 


33 


.00960 


.99995 


.02705 


.99963 


.04449 


.99901 


.06192 


.99808 


.07933 


.99685 


27 


34 


.00989 


.99995 


.02734 


.99963 


.04478 


.99900 


.06221 


.99806 


.07962 


.99683 


26 


3S 


.01018 


.99995 


.02763 


.99962 


.04507 


.99898 


.06250 


.99804 


.07991 


.99680 


25 


36 


.01047 


.99995 


.02792 


.99961 


.04536 


.99897 


.06279 


.99803 


.08020 


.99678 


24 


37 


.01076 


.99594 


.02821 


.99960 


.04565 


.99B96 


.06308 


.99801 


.08049 


.99676 


23 


38 


.01105 


.99994 


.02850 


.99959 


.04594 


.99S94 


■06337 


.99799 


.08078 


.99673 


22 


39 


.01134 


.99994 


.02879 


.99959 


.04623 


.99893 


.06366 


.99707 


.08107 


.99671 


21 


40 


.01164 


.99993 


.02908 


.99958 


.04653 


.99892 


.06395 


.99795 


.08136 


.99668 


20 


41 


.01193 


.99993 


.02938 


.99957 


.0468a 


.99890 


.06424 


.99793 


.08165 


.99666 


19 


42 


.01222 


.99993 


.02967 


.99956 


.04711 


.99889 


.06453 


.99792 


.08194 


.99664 


18 


43 


.01251 


.99992 


.02996 


.99955 


.04740 


.99888 


.06482 


.99790 


.08223 


.99661 


17 


44 


.01280 


.99992 


.03025 


.99954 


.04769 


.99886 


.06511 


.99788 


.08252 


.99659 


16 


45 


.01309 


.99991 


.03054 


.99953 


.04798 


.99885 


.06540 


.997S6 


.08281 


.99657 


IS 


46 


.01338 


.99991 


.03083 


.99952 


.04827 


.99883 


.06569 


.99784 


.08310 


.99654 


14 


47 


.01367 


.99991 


.03112 


.99952 


.04856 


.99882 


.06598 


.99782 


.08339 


.99652 


13 


48 


.01396 


.99990 


.03141 


.99951 


.04885 


.99881 


.06627 


.99780 


.08368 


.99649 


12 


49 


.01425 


.99990 


.03170 


.99950 


.04914 


.99879 


.06656 


.99778 


.08397 


.99647 


II 


SO 


.01454 


.99989 


.03199 


.99949 


.04943 


.99878 


.06685 


.99776 


.08426 


.99644 


10 


SI 


.01483 


.99989 


.03228 


.99948 


.04972 


.99876 


.06714 


.99774 


.08455 


.99642 


9 


52 


.01513 


.999S9 


.03257 


.99947 


.05001 


■99875 


.06743 


.99772 


.08484 


.99639 


8 


53 


.01542 


.99988 


.03286 


.99946 


.05030 


■99873 


■06773 


.99770 


.08513 


.99637 


7 


54 


.01571 


.99988 


.03316 


.99945 


.05059 


■99872 


.06802 


.99768 


.08542 


.99635 


6 


55 


.01600 


.99987 


.03345 


.99944 


.05088 


.99870 


.06831 


.99766 


.08571 


.99632 


5 


56 


.01629 


.99987 


.03374 


.99943 


.05117 


.99869 


.06860 


.99764 


.08600 


.99630 


4 


57 


.01658 


.99986 


.03403 


.99942 


.05146 


.99867 


.06889 


.99762 


.08629 


.99627 


3 


58 


.01687 


.99986 


.03432 


.99941 


■05175 


.99866 


.06918 


.99760 


.08658 


.99625 


2 


59 


.01716 


.99985 


.03461 


.99940 


.05205 


.99864 


.06947 


.99758 


.08687 


.99622 


I 


60 


.01745 


.99985 


.03490 


.99939 


.05234 


.99863 


.06976 


.99756 


.08716 


.99619 





/ 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


/ 


8c 


f 


8^ 


5° 


87 





U 


)° 


8! 


,0 

) 



BROWN & SHARPE MFG. CO. 

NATURAL SINES AND COSINES 



99 



/ 


5 





6 





7 





8 





9° 


/ 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine C 


osine 





.08716 


.99619 


.10453 


.99452 


.12187 


.99255 


.13917 


.99027 


.15643 


98769 


60 


I 


.08745 


.99617 


.10482 


.99449 


.12216 


.99251 


.13946 


,99023 


.15672 


98764 


59 


2 


.08774 


.99614 


.10511 


.99446 


.12245 


.99248 


.13975 


.99019 


.15701 


98760 


58 


3 


.08803 


.99612 


.10540 


.99443 


.12274 


•99244 


.14004 


.99015 


.15730 


98755 


57 


4 


.08831 


.99609 


.10569 


.99440 


.12302 


.99240 


.14033 


.99011 


.15758 


98751 


56 


S 


.08860 


.99607 


.10597 


•99437 


.12331 


.99237 


.14061 


.99006 


.15787 


98746 


55 


6 


.08889 


.99604 


.10626 


.99434 


.12360 


.99233 


,14090 


.99002 


.15816 


98741 


54 


7 


.08918 


.99602 


.10655 


.99431 


.12389 


.99230 


.14119 


.98998 


.15845 


98737 


53 


8 


.08947 


.99599 


.10684 


.99428 


.12418 


.99226 


.14148 


.98994 


.15873 


98732 


52 


9 


.08976 


.99596 


.10713 


.99424 


.12447 


.99222 


.14177 


.98990 


.15902 


98728 


SI 


10 


.09005 


.99594 


.10742 


.99421 


.12476 


.99219 


.14205 


.98986 


.15931 


98723 


SO 


II 


.09034 


.99591 


.10771 


.99418 


.12504 


.9921s 


.14234 


.98982 


.15959 


98718 


49 


12 


.09063 


.99588 


.10800 


.99415 


.12533 


.99211 


.14263 


.93978 


.15988 


98714 


48 


13 


.09092 


.99586 


.10829 


.99412 


.12562 


.99208 


.14292 


.98973 


.16017 


98709 


47 


14 


.09121 


.99583 


.10858 


.99409 


.12591 


•99204 


.14320 


.98969 


.16046 


98704 


46 


IS 


.09150 


.99580 


.10887 


.99406 


.12620 


.99200 


.14349 


.98965 


.16074 


98700 


45 


i6 


.09179 


.99578 


.10916 


•99402 


.12649 


•99197 


.14378 


.98961 


.16103 


98695 


44 


17 


.09208 


.99575 


.10945 


.99399 


.12678 


•99193 


.14407 


.98957 


.16132 


98690 


43 


i8 


.09237 


.99572 


.10973 


•99396 


.12706 


.99189 


.14436 


.98953 


.16160 


98686 


42 


19 


.09266 


.99570 


.11002 


.99393 


.12735 


.99186 


.14464 


.98948 


.16189 


98681 


41 


20 


.09295 


.99567 


.11031 


.99390 


.12764 


.99182 


.14493 


.98944 


.16218 


98676 


40 


21 


.09324 


.99564 


,Tio6o 


.99386 


.12793 


•99178 


.14522 


.98940 


.16246 


98671 


39 


22 


.09353 


.99562 


.11089 


•99383 


.12822 


.99175 


.14551 


.98936 


.16275 


9S667 


38 


23 


.09382 


.99559 


.11118 


.99380 


.12851 


.99171 


.14580 


.9S931 


.16304 


98662 


37 


24 


.09411 


.99556 


.11147 


• 99377 


.12880 


.99167 


.14608 


.98927 


.16333 


98657 


36 


25 


.09440 


.99553 


.11176 


.99374 


. 1 2908 


•99163 


.14637 


.98923 


.16361 


98652 


35 


26 


.09469 


.99551 


.11205 


•99370 


.12937 


.99160 


.14666 


.98919 


.16390 


98648 


34 


27 


.09498 


.99548 


.11234 


•99367 


.12966 


.99156 


.14695 


.98914 


.16419 


98643 


33 


28 


.09527 


.99545 


.11263 


•99364 


.12995 


•99152 


.14723 


.98910 


.16447 


98638 


32 


29 


.09556 


.99542 


,11291 


.99360 


.13024 


.99148 


.14752 


.98906 


.16476 


98633 


31 


30 


.09585 


.99540 


.11320, 


.99357 


.13053 


.99144 


.14781 


.9S902 


.1650s 


98629 


30 


31 


.09614 


.99537 


.11349 


.99354 


.13081 


.99141 


.14810 


.98897 


.16533 


98624 


29 


32 


.09642 


.99534 


.11378 


■99351 


.13110 


.99137 


.14838 


.98893 


.16562 


98619 


28 


33 


.09671 


•99531 


.11407 


.99347 


.13139 


.99133 


.14S67 


.98889 


.16591 


98614 


21 


34 


.09700 


.99528 


.11436 


.99344 


.13168 


.99129 


.14896 


.98884 


.16620 


98609 


26 


35 


.09729 


.99526 


.11465 


.99341 


.13197 


•99125 


.14925 


.98880 


.16648 


98604 


25 


36 


.09758 


.99523 


.11494 


.99337 


.13226 


.99122 


.14954 


.98876 


.16677 


98600 


24 


37 


.09787 


.99520 


.11523 


.99334 


.13254 


.99118 


.14982 


.98871 


.16706 


98595 


23 


38 


.09816 


.99517 


.11552 


.99331 


.13283 


•99114 


.15011 


.98867 


.16734 


98590 


22 


39 


.09845 


.99514 


.11580 


.99327 


.13312 


.99110 


.15040 


.98S63 


.16763 


98585 


21 


40 


.09874 


.99511 


.11609 


.99324 


.13341 


.99106 


.15069 


.98858 


.16792 


98580 


20 


41 


.09903 


.99508 


.11638 


.99320 


.13370 


.99102 


.15097 


.98854 


.16820 


9857s 


19 


42 


.09932 


.99506 


.11667 


•99317 


.13399 


.99098 


.15126 


.98849 


.16849 


98570 


18 


43 


.09961 


.99503 


.11696 


•99314 


• 13427 


•99094 


.1515s 


•98845 


.16878 


98565 


17 


44 


.09990 


.99500 


.11725 


.99310 


• 13456 


.99091 


.15184 


.98841 


.16906 


98561 


16 


45 


.10019 


.99497 


.11754 


.99307 


.13485 


.99087 


.15212 


.98836 


.16935 


98556 


IS 


46 


.10048 


.99494 


.11783 


.99303 


.13514 


.99083 


.15241 


.98832 


.16964 


98551 


14 


47 


.10077 


.99491 


.11812 


.99300 


• 13543 


.99079 


.15270 


.98827 


.16992 


98546 


13 


48 


.10106 


.99488 


.11840 


.99297 


•13572 


.99075 


•15299 


•98823 


.17021 


98541 


12 


49 


.10135 


.99485 


.11869 


•99293 


.13600 


.99071 


.15327 


.98818 


.17050 


98536 


II 


SO 


.10164 


.99482 


.11898 


.99290 


.13629 


.99067 


.15356 


.98814 


.17078 


98531 


10 


51 


.10192 


.99479 


.11927 


.99286 


.13658 


•99063 


•1538s 


.98809 


.17107 


98526 


9 


52 


.10221 


.99476 


.11956 


•99283 


.13687 


•99059 


.15414 


.9880s 


.17136 


98521 


8 


53 


.10250 


.99473 


.11985 


•99279 


.13716 


•99055 


.15442 


.98800 


.17164 


98516 


7 


54 


.10279 


.09470 


.12014 


•99276 


.13744 


.99051 


.15471 


.98796 


.17193 


98511 


6 


£5 


.10308 


.99467 


.12043 


•99272 


.13773 


.99047 


.15500 


.98791 


.17222 


98506 


5 


56 


.10337 


.99464 


.12071 


.99269 


.13802 


.99043 


.15529 


.98787 


.17250 


98501 


4 


57 


.10366 


.99461 


.12100 


•99265 


.13831 


.99039 


.15557 


.98782 


.17279 


•98496 


3 


S8 


.10395 


.99458 


.12129 


.99262 


.13860 


.99035 


.15586 


•98778 


.17308 


98491 


2 


59 


.10424 


.99455 


.12158 


.99258 


.13889 


.99031 


.15615 


.98773 


.17336 


98486 


1 


60 


.10453 


.99452 


.12187 


.99255 


.13917 


•99027 


.15643 


.98769 


.17365 


.98481 





/ 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


/ 


8 


4° 


8 


3° 


8. 


2° 


8 


1° 


80' 


3 



LOfC, 



lOO 



BROWN & SHARPE MFG. CO. 

NATURAL SINES AND COSINES 



/ 


10° 


U 





12° 


13° 


14° 


/ 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 





.1736s 


.98481 


.19081 


.98163 


.20791 


.9781S 


.22495 


.97437 


.24192 


.97030 


60 


I 


.17393 


.98476 


.19109 


.98157 


.20820 


.97809 


.22S23 


.97430 


.24220 


.97023 


59 


2 


.17422 


.98471 


.19138 


.98152 


.20848 


.97803 


.22552 


•97424 


.24249 


.97015 


58 


3 


.17451 


.98466 


.19167 


.98146 


.20877 


.97797 


.22580 


.97417 


.24277 


.97008 


57 


4 


.17479 


.98461 


.19195 


.98140 


.20905 


.97791 


.22608 


.97411 


.24305 


.97001 


56 


S 


.17508 


.98455 


.19224 


.98135 


.20933 


.97784 


•22637 


.97404 


.2^332 


.96994 


55 


6 


.17537 


.98450 


.19252 


.98129 


.20962 


•97778 


.22665 


.97398 


.24362 


.96987 


54 


7 


.17565 


.98445 


.19281 


.98124 


.20990 


.97772 


.22693 


•97391 


.24390 


.96980 


S3 


8 


.17594 


.98440 


.19309 


.98118 


.21019 


.97766 


.22722 


•97384 


.24418 


.56973 


52 


9 


.17623 


.98435 


.19338 


.98112 


.21047 


.97760 


.22750 


.97378 


.24446 


.96966 


51 


10 


.17651 


.98430 


.19366 


.98107 


.21076 


•97754 


.22778 


.97371 ' 


.24474 


.96959 


SO 


II 


.17680 


.98425 


.19395 


.98101 


.21104 


.97748 


.22807 


.97365 


.24503 


.96952 


49 


12 


.17708 


.98420 


• 19423 


.98096 


.21132 


.97742 


.22835 


.97358 


.24531 


.96945 


48 


13 


.17737 


.98414 


.19452 


.98090 


.21161 


.97735 


.22863 


.97351 


.24559 


.96937 


47 


14 


.17766 


.98409 


.19481 


.98084 


.21189 


.97729 


.22892 


.97345 


.24587 


.96930 


46 


IS 


.17794 


.98404 


.19509 


.98079 


.21218 


•97723 


.22920 


.97338 


.24615 


.96923 


45 


i6 


.17823 


.98399 


.19538 


.98073 


.21246 


.97717 


.22948 


.97331 


.24644 


.c;69i6 


44 


17 


.17852 


.98394 


.19566 


.98067 


.21275 


.97711 


•22977 


.97325 


.24672 


.96909 


43 


i8 


.17880 


.98389 


.19595 


.98061 


.21303 


.97705 


.23005 


•97318 


.24700 


.96902 


42 


19 


.17909 


.98383 


.19623 


.98056 


.21331 


.97698 


•23033 


•97311 


.24728 


.C6894 


41 


20 


.17937 


.98378 


.19652 


.98050 


.21360 


•97692 


.23062 


•97304 


.24756 


.96887 


40 


21 


.17966 


.98373 


.19680 


.98044 


.21388 


.97686 


.23090 


.97298 


.24784 


.96880 


39 


22 


.17995 


.98363 


.19709 


.98039 


.21417 


.97680 


.23118 


•97291 


.24813 


.96873 


38 


23 


.18023 


.98362 


• 19737 


.98033 


.21445 


.97673 


.23146 


•97284 


.24841 


.96866 


37 


24 


.18052 


.98357 


.19766 


.98027 


.21474 


.97667 


.23175 


.97278 


.24869 


.96858 


36 


25 


.18081 


.98352 


.19794 


.98021 


.21502 


.97661 


.23203 


•97271 


.24897 


.96851 


35 


26 


.18109 


.98347 


.19823 


.98016 


.21530 


.97655 


.23231 


.97264 


.24925 


.96844 


34 


27 


.18138 


.98341 


.19851 


.98010 


.21559 


.97648 


.23260 


.97257 


.24954 


.96837 


33 


28 


.18166 


.98336 


.19880 


.98004 


.21587 


.97642 


.23288 


.97251 


.24982 


.96829 


32 


29 


.18195 


.98331 


.19908 


.97998 


.21616 


.97636 


.23316 


.97244 


.25010 


.96822 


31 


30 


.18224 


.98325 


- .19937 


.97992 


.21644 


.97630 


.23345 


.97237 


.25038 


.96815 


30 


31 


.18252 


.98320 


.19965 


.97987 


.21672 


.97623 


.23Z73 


.97230 


.25066 


.96807 


29 


32 


.18281 


.983 1 5 


.19994 


.97981 


.21701 


.97617 


.23401 


•97223 


.25094 


.96800 


28 


33 


.18309 


.98310 


.20022 


.97975 


.21729 


.97611 


•23429 


.97217 


.25122 


.96793 


27 


34 


.18338 


.98304 


.20051 


.97969 


.21758 


•97604 


.23458 


.97210 


.25151 


.96786 


26 


35 


.18367 


.98299 


.20079 


.97963 


.21786 


.97598 


•23486 


.97203 


.25179 


.96778 


25 


36 


.18395 


.98294 


.20108 


.97958 


.21814 


•97592 


•23514 


.97196 


.25207 


.96771 


24 


37 


.18424 


.98288 


.20136 


.97952 


.21843 


.97585 


.23542 


.97189 


.25235 


.96764 


23 


38 


.18452 


.98283 


.20165 


.97946 


.21871 


.97579 


.23571 


.971S2 


.25263 


.96756 


22 


39 


.18481 


.98277 


.20193 


.97940 


.21899 


.97573 


.23599 


■97176 


.25291 


.96749 


21 


40 


.18509 


.98272 


.20222 


.97934 


.21928 


.97566 


.23627 


.97169 


.25320 


.96742 


20 


41 


.18538 


.98267 


.20250 


.97928 


.21956 


.97560 


.23656 


.97162 


.25348 


.96734 


19 


42 


.18567 


.98261 


.20279 


.97922 


.21985 


.97553 


.23684 


.97155 


.25376 


.96727 


18 


43 


.18595 


.98256 


.20307 


.97916 


.22013 


.97547 


.23712 


.97148 


.25404 


.96719 


17 


44 


.18624 


.98250 


.20336 


.97910 


.22041 


.97541 


•23740 


.97141 


.25432 


.96712 


16 


45 


.18652 


.98245 


.20364 


.97905 


.22070 


.97534 


.23769 


.97134 


.25460 


.96705 


IS 


46 


.18681 


.98240 


.20393 


.97899 


.22098 


.97528 


.23797 


.97127 


.25488 


.96697 


14 


47 


.18710 


.98234 


.20421 


.97893 


.22126 


.97521 


.23825 


..97120 


.25516 


.96690 


13 


48 


.18738 


.98229 


.20450 


.97887 


.22155 


•97515 


.23853 


.97113 


.25545 


.96682 


12 


49 


.18767 


.98223 


.20478 


.97881 


..22183 


.97508 


.23882 


.97106 


.25573 


.96675 


II 


50 


.18795 


.98218 


.20507 


.97875 


.22212 


.97502 


.23910 


.97100 


.25601 


.96667 


ID 


SI 


.18824 


.98212 


.20535 


.97869 


.22240 


.97496 


.23938 


.97093 


.25629 


.96660 


9 


52 


.18852 


.98207 


.20563 


.97863 


.22268 


,97489 


.23966 


.97086 


.25657 


.96653 


8 


S3 


.18881 


.98201 


.20592 


.97857 


.22297 


.974S3 


.23995 


.97079 


.25685 


.96645 


7 


54 


.18910 


.98196 


.20620 


.97851 


.22325 


.97476 


.24023 


.97072 


.25713 


.96638 


6 


55 


.18938 


.98190 


.20649 


.97845 


.22353 


.97470 


.24051 


.97065 


.25741 


.96630 


S 


S6 


.18967 


.98185 


.20677 


.97839 


.22382 


.97463 


.24079 


.97058 


.25769 


•96623 


4 


57 


.18995 


.98179 


.20706 


.97833 


.22410 


.97457 


.24108 


.97051 


.25798 


•9^^^i 


3 


58 


.19024 


.98174 


..20734 


.97827 


.22438 


.97450 


.24136 


.97044 


.25826 


.96608 


2 


59 


.19052 


.98168 


.20763 


.97821 


.22467 


•97444 


.24164 


•97037 


.25854 


.96600 


I 


60 


.19081 


.98163 


.20791 


.97815 


.22495 


.97437 


.24192 


.97030 


.25882 


.96593 





/ 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


/ 


7< 


?° 


7^ 


3° 


7: 


7° 


7< 




7 


5° 



BROWN & SHARPE MFG. CO. 

NATURAL SINES AND COSINES 



/ 


15 





16° 


17° 


18° 


19° 


f 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 





.25882 


.96593 


.27564 


.96126 


.29237 


.95630 . 


30902 


.95106 


•32557 


.94552 


60 


I 


.25910 


.96585 


.27592 


.96118 


.29265 


.95622 . 


30929 


.95097 


•32584 


.94542 


59 


2 


.25938 


.96578 


.27620 


.96110 


.29293 


.95613 . 


30957 


.95088 


.32612 


.94533 


58 


3 


.25966 


.96570 


.27648 


.96102 


.29321 


.95605 . 


3098s 


•95079 


•32639 


.94523 


57 


4 


.25994 


.96562 


.27676 


.96094 


.29348 


.95596 . 


31012 


.95070 


.32667 


.94514 


56 


S 


.26022 


.96555 


.27704 


.96086 


.29376 


.95588 . 


31040 


.95061 


•32694 


.94504 


55 


6 


.26050 


.96547 


.27731 


.96078 


.29404 


.95579 . 


31068 


•95052 


.32722 


.94495 


54 


7 


.26079 


.96540 


.27759 


.96070 


.29432 


.95571 


31095 


•95043 


•32749 


.94485 


S3 


8 


.26107 


.96532 


.27787 


.96062 


.29460 


.95562 . 


31123 


.95033 


•32777 


.94476 


52 


9 


.26135 


.96524 


.27815 


.96054 


.29487 


.95554 . 


31151 


.95024 


.32804 


.94466 


51 


10 


.26163 


.96517 


.27843 


.96046 


.29515 


•95545 . 


31178 


•95015 


.32832 


.94457 


50 


II 


.26191 


.96509 


.27871 


.96037 


.29543 


.95536 . 


31206 


.95006 


.32859 


.94447 


49 


12 


.26219 


.96502 


.27899 


.96029 


.29571 


•95528 . 


31233 


.94997 


.32887 


.94438 


48 


13 


.26247 


.96494 


.27927 


.96021 


.29599 


.95519 . 


31261 


.94988 


.32914 


.94428 


47 


14 


.26275 


.96486 


.27955 


.96013 


.29626 


.955" • 


31289 


•94979 


.32942 


.94418 


46 


IS 


.26303 


.96479 


.27983 


.96005 


.29654 


•95502 . 


31316 


.94970 


.32969 


.94409 


45 


i6 


.26331 


.96471 


.28011 


.95997 


.29682 


•95493 • 


31344 


.94961 


•32997 


•94399 


44 


17 


.26359 


.96463 


.28039 


.95989 


.29710 


.95485 . 


31372 


.94952 


•33024 


•94390 


43 


i8 


.26387 


.96456 


.28067 


.95981 


.29737 


.95476 . 


31399 


.94943 


.33051 


•94380 


42 


19 


.26415 


.96448 


.28095 


.95972 


.29765 


.95467 . 


31427 


.94933 


.33079 


•94370 


41 


20 


.26443 


.96440 


.28123 


.95964 


.29793 


.95459 . 


31454 


.94924 


.33106 


•94361 


40 


21 


.26471 


.96433 


.28150 


.95956 


.29821 


.95450 . 


31482 


•94915 


.33134 


•94351 


39 


22 


.26500 


.96425 


.28178 


.95948 


.29849 


.95441 . 


31510 


.94906 


•33161 


.94342 


38 


23 


.26528 


.96417 


.28206 


.95940 


.29876 


.95433 


31537 


•94897 


•33189 


.94332 


37 


24 


.26556 


.96410 


.28234 


.95931 


.29904 


.95424 . 


31565 


.94888 


.33216 


.94322 


36 


25 


.26584 


.96402 


.28262 


.95923 


.29932 


•95415 • 


31593 


.94878 


.33244 


.94313 


35 


26 


.26612 


.96394 


.28290 


.95915 


.29960 


.95'107 . 


31620 


.94869 


.33271 


•94303 


34 


27 


.26640 


.96386 


.28318 


.95907 


.29987 




31648 


.94860 


.33298 


•94293 


33 


28 


.26668 


.96379 


.28346 


.95898 


.30015 


.95389 . 


3167s 


.94851 


.35326 


.94284 


32 


29 


.26696 


.96371 


.28374 


.95890 


.30043 


.95380 


31703 


.94842 


-33353 


.94274 


31 


30 


.26724 


.96363 


.28402 


.95882 


.30071 


.95372 . 


31730 


.94832 


•33381 


.94264 


30 


31 


.26752 


.96355 


.28429 


.95874 


.30098 


•95363 


31758 


.94823 


•33408 


.94254 


29 


32 


.26780 


.96347 


.28457 


.95865 


.30126 


•95354 


31786 


.94814 


•33436 


.94245 


28 


33 


.26808 


.96340 


.28485 


.95857 


.30154 


•95345 


31813 


.94805 


•33463 


.94235 


27 


34 


.26836 


.96332 


.28513 


.95849 


.30182 


•?5337 


31841 


•94795 


•33490 


.94225 


26 




.26864 


.96324 


..28541 


.95841 


.30209 


•95328 


31868 


•94786 


•33518 


•94215 


25 


36 


.26892 


.96316 


.28569 


.95832 


.30237 


•9S3I9 


31802 


•94777 


.33545 


.94206 


24 


37 


.26920 


.96308 


.28597 


.95824 


.30265 


.95310 


31923 


.947^8 


.33573 


.94196 


23 


38 


.26948 


.96301 


.28625 


.95816 


.30-9- 


.95301 


31951 


•94753 


..33600 


.94186 


22 


39 


.26976 


.96293 


.28652 


.95807 


.30320 


.95293 


31979 


.94749 


.33627 


.94176 


21 


40 


.27004 


.96285 


.28680 


•95799 


.30348 


.95284 


32006 


.94740 


.33655 


.94167 


20 


41 


.27032 


.96277 


.28708 


.95791 


.30376 


.95275 


32034 


.94730 


.33682 


.94157 


19 


42 


.27060 


.96269 


.28736 


.95782 


.30403 


.95266 


32061 


.94721 


.33710 


.94147 


18 


43 


.27088 


.96261 


.28764 


.^95774 


.30431 


.95257 


32089 


.94712 


■ 32,7Z7 


.94137 


17 


44 


.27116 


.96253 


..28792 


.95766 


.30459 


.95248 


32116 


.94702 


.33764 


.94127 


16 


45 


.27144 


.96246 


..28820 


.95757 


.30486 


.95240 


32144 


.94693 


.33792 


.94118 


15 


46 


.27172 


.96238 


.28847 


.95749 


.30514 


.95231 


32171 


.94684 


.33819 


.94108 


14 


47 


.27200 


.96230 


.28875 


.95740 


-30542 


.95222 


32199 


.94674 


.33846 


.94098 


13 


48 


.27228 


.96222 


.28903 


.95732 


.30570 


.95213 


32227 


.94665 


.33874 


.94088 


12 


49 


.27256 


.96214 


.28931 


.95724 


.30597 


.95204 


32254 


.94656 


.33901 


.94078 


II 


SO 


.27284 


.96206 


.28959 


.95715 


.30625 


.95195 


32282 


.94646 


.33929 


.94068 


10 


51 


.27312 


.96198 


J28987 


.95707 


.30653 


.95186 


32309 


.94637 


.33956 


.94058 


9 


52 


.27340 


.96190 


.290x5 


.95698 


.30680 


.95177 


32327 


.94627 


.33983 


.94049 


8 


S3 


.27368 


.96182 


.29042 


.•95690 


.30708 


.95168 


32364 


.94618 


.34011 


.94039 


7 


54 


.27396 


.96174 


.29070 


.95681 


.30736 


.95159 


32392 


.94609 


•34038 


.94029 


6 


55 


.27424 


.96166 


.29098 


.95673 


.30763 


.95150 


32419 


.94599 


•34065 


.94019 


5 


S6 


.27452 


.961S8 


.29126 


.95664 


.30791 


.95142 


32447 


.94590 


.34093 


.94009 


4 


57 


.27480 


.96150 


.29154 


.95656 


.30819 


•95133 


32474 


.94580 


.34120 


.93999 


3 


S8 


.27508 


.96142 


.29182 


.95647 


.30846 


.95124 


32502 


.94571 


•34147 


.93989 


2 


59 


.27536 


.96134 


.29209 


.95639 


.30874 


.95115 


32529 


.94561 


.34175 


.93979 


1 


60 


.27564 


.96126 


.29237 


.95630 


.30902 


.95106 


32557 


.945S2 


.34202 


.93969 





f 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine C 


Cosine 


Sine 


Cosine 


Sine 


/ 


7' 


♦° 


7 


3° 


7 


2° 


7 


1° 


7 


0° 



I02 



BROWN & SHARPE MFG. CO. 

NATURAL SINES AND COSINES 



1 


20° 


2] 





22° 


23° 


24° 


/ 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 





.34202 


.93969 


.35837 


•93358 


.37461 


.92718 


.39073 


.92050 


.40674 


•91355 


60 


I 


.34229 


.93959 


.35864 


.93348 


.37488 


.92707 


.39100 


.92039 


.40700 


.91343 


59 


2 


.34257 


.93949 


■35891 


.93337 


.37515 


.92697 


.39127 


.92028 


.40727 


.91331 


58 


3 


.34284 


.93939 


.35918 


.93327 


.37542 


.92686 


.39153 


.92016 


.40753 


.91319 


57 


4 


• 343" 


.93929 


.35945 


.93316 


.37569 


.92675 


.39180 


.92005 


.40780 


.91307 


S6 


S 


.34339 


•93919 


.35973 


.93306 


.37595 


.92664 


.39207 


.91994 


.40806 


.91295 


55 


6 


.34366 


.93909 


.36000 


.93295 


.37622 


.92653 


.39234 


.91982 


.40833 


.91283 


54 


7 


.34393 


•93899 


.36027 


.93285 


.37649 


.92642 


.39260 


.91971 


.40860 


.91272 


S3 


8 


.34421 


.93889 


.36054 


.93274 


.37676 


.92631 


.39287 


.91959 


.40886 


.91260 


52 


9 


.34448 


•93879 


.36081 


.93264 


.37703 


.92620 


.39314 


.91948 


.40913 


.91248 


51 


10 


• 34475 


•93869 


.36108 


.93253 


.37730 


.92609 


.39341 


.91936 


.40939 


.91236 


SO 


11 


.34503 


•93859 


.36135 


.93243 


.37757 


.92598 


.39367 


.91925 


.40966 


.91224 


49 


12 


•34530 


•93849 


.36162 


.93232 


.37784 


.92587 


.39394 


.91914 


.40992 


.91212 


48 


13 


•34557 


.93839 


.36190 


.^2>222 


.37811 


.92576 


.39421 


.91902 


.41019 


.91200 


47 


14 


.34584 


.93829 


.36217 


.93211 


.37838 


.92565 


.39448 


.91891 


.41045 


.91188 


46 


IS 


.34612 


•93819 


■36244 


.93201 


.37865 


.92554 


.39474 


.91879 


.41072 


.91176 


4S 


i6 


.34639 


.93809 


.36271 


■93190 


.37892 


.92543 


.39501 


.91868 


.41098 


.91164 


44 


17 


.34666 


•93799 


.36298 


.93180 


.37919 


.92532 


.39528 


.91856 


.41125 


•91152 


43 


i8 


.34694 


.93789 


.36325 


.93169 


.37946 


.92521 


.39555 


.91845 


.41151 


.91140 


42 


19 


• 34721 


.93779 


■ 36352 


.93159 


.37973 


.92510 


.39581 


.91833 


.41178 


.91128 


41 


20 


• 34748 


•93769 


■ 36379 


.93148 


.37999 


•92499 


.39608 


.91822 


.41204 


.91116 


40 


21 


•34775 


■93759 


.36406 


.93137 


.38026 


.92488 


.39635 


.91810 


.41231 


.91104 


39 


22 


.34803 


•93748 


.36434 


.93127 


.38053 


.92477 


.39661 


.91799 


.41257 


.91092 


38 


23 


.34830 


•93738 


.36461 


.93116 


.3S080 


.92466 


.39688 


•91787 


.41284 


.91080 


37 


24 


.34857 


.93728 


.36488 


.93106 


.38107 


.92455 


.39715 


.91775 


.41310 


.91068 


36 


25 


.34884 


•93718 


■36515 


.93095 


.38134 


.92444 


.39741 


.91764 


.41337 


.91056 


35 


26 


.34912 


■93708 


.36542 


.93084 


.38161 


.92432 


.39768 


•91752 


.41363 


.91044 


34 


27 


.34939 


.93698 


■36569 


.93074 


.38188 


.92421 


.39795 


.91741 


.41390 


.91032 


33 


28 


.34966 


.93688 


.36596 


.93063 


.3821 s 


.92410 


.30822 


.91729 


.41416 


,91020 


32 


29 


.34993 


•93677 


.36623 


.93052 


.38241 


.92399 


.39848 


.91718 


.41443 


.91008 


31 


30 


•3S02I 


•93667 


.36650 


.93042 


.38268 


.92388 


.39875 


.91706 


.41469 


.90996 


30 


31 


.35048 


•93657 


■36677 


.93031 


.38295 


.92377 


.39902 


.91694 


.41496 


.90984 


29 


32 


.35075 


.93647 


■ 36704 


.93020 


.38322 


.92366 


.39928 


.91683 


.41522 


.90972 


28 


33 


• 35102 


.93637 


■ 36731 


.93010 


.38349 


.92355 


.39955 


.91671 


.41549 


.90960 


27 


34 


.35130 


.93626 


.36758 


.92999 


.38376 


.92343 


.39982 


.91660 


.41575 


.90948 


26 


35 


.35157 


.93616 


.36785 


.92988 


.38403 


.92332 


.40008 


.91648 


.41602 


.90936 


25 


36 


.35184 


.93606 


.36812 


.92978 


.38430 


.92321 


.40035 


.91636 


.41628 


.90924 


24 




•35211 


.93596 


■ 36839 


.92967 


.38456 


.92310 


.40062 


.91625 


.41655 


.90911 


23 


38 


.35239 


■93585 


.36867 


.92956 


.38483 


.92299 


.40088 


.91613 


.41681 


.90899 


22 


39 


.35266 


.93575 


.36894 


.92945 


.38510 


.92287 


.4011S 


.91601 


.41707 


.90887 


21 


40 


•35293 


■93565 


.36921 


.92935 


.38537 


.92276 


.40141 


.91590 


.41734 


.9087s 


20 


41 


•35320 


.93555 


.36948 


.92924 


.38564 


.92265 


.40168 


.91578 


.41760 


.90863 


19 


42 


•35347 


■93544 


■3697s 


.92913 


.38591 


.92254 


.40195 


.91566 


.41787 


.90S51 


18 


43 


•35375 


■93534 


.3-002 


.92902 


.38617 


.92243 


.40221 


.91555 


.41813 


.90839 


17 


44 


.35402 


■93524 


.37029 


.92892 


.38644 


.92231 


.40248 


.91543 


.41840 


.90826 


16 


45 


.35429 


■93514 


.37056 


.92881 


.38671 


.92220 


.40275 


.91531 


.41S66 


.90814 


IS 


46 


.35456 


■93503 


.37083 


.92870 


.38698 


.92209 


.40301 


.91519 


.41892 


.90802 


14 


47 


•35484 


■93493 


.37110 


.92859 


.38725 


.92198 


.40328 


.91508 


.41919 


.90790 


13 


48 


•35511 


■93483 


.37137 


.92849 


.38752 


.92186 


.40355 


.91496 


.41945 


.90778 




49 


.35538 


■93472 


.37164 


.92838 


.38778 


•92175 


.40381 


.91484 


.41972 


.90766 


II 


SO 


.35565 


■93462 


.37191 


.92827 


.38805 


.92164 


.40408 


.91472 


.41998 


.90753 


10 


SI 


.35592 


■93452 


.37218 


.92816 


.38832 


.92152 


.40434 


.91461 


.42024 


.90741 


9 


52 


.35619 


■93441 


.37245 


.9280s 


.38859 


.92141 


.40461 


.91449 


.42051 


.90729 


8 


53 


•35647 


.93431 


.37272 


.92794 


.38886 


.92130 


.40488 


.91437 


.42077 


.90717 


7 


54 


•35674 


.93420 


.37299 


.92784 


.38912 


.92119 


.40514 


.91425 


.42104 


.90704 


6 


55 


.35701 


■93410 


.37326 


.92773 


■38939 


.92107 


.40541 


.91414 


.42130 


.90692 


5 


S6 


•35728 


.93400 


■37353 


.92762 


.38966 


.92096 


.40567 


.91402 


.42156 


.90680 


4 


^l 


•35755 


•93389 


.37380 


.92751 


.38993 


.92085 


.40594 


.91390 


.42183 


.90668 


3 


58 


■ 35782 


■93379 


.37407 


.92740 


.39020 


.92073 


.40621 


.91378 


.42209 


.90655 


2 


59 


.35810 


.93368 


.37434 


.92729 


.39046 


.92062 


.40647 


.91366 


.42235 


.90643 


I 


60 


.35837 


.93358 


.37461 


.92718 


.39073 


.92050 


.40674 


.91355 


.42262 


.90631 





/ 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


/ 


6( 


j° 


6^ 


B° 


6' 


7° 


6( 


5° 


6 


5° 



BROWN & SHARPE MFG. CO. 

NATURAL SINES AND COSINES 



103 



/ 


25 





26 





27 





28 





29° 


/ 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 





.42262 


.90631 


.43837 


.89879 


.45399 


.89101 


.46947 


.88295 


.48481 


.87462 


60 


I 


.42288 


.90618 


.43863 


.89867 


.45425 


.89087 


.46973 


.88281 


.48506 


.87448 


59 


2 


.42315 


.90606 


.43889 


.89854 


.45451 


.89074 


•46999 


.88267 


.48532 


.87434 


58 


3 


.42341 


.90594 


.43916 


.89841 


.45477 


.89061 


.47024 


.88254 


.48557 


.87420 


57 


4 


.42367 


.90582 


•43942 


.89828 


.45503 


.89048 


.47050 


.88240 


•48583 


.87406 


56 


5 


.42394 


.90569 


.43968 


.89816 


•45529 


.89035 


•47076 


.88226 


.48608 


.87391 


55 


6 


.42420 


.90557 


•43994 


.89803 


•45554 


.89021 


.47101 


.88213 


.48634 


.87377 


54 


7 


.42446 


•90545 


.44020 


.89790 


•45580 


.89008 


.47127 


.88199 


•48659 


•87363 


53 


8 


.42473 


•90532 


.44046 


.89777 


.45606 


.88995 


.47153 


.88185 


.48684 


.87349 


52 


9 


.42499 


.90520 


.44072 


.89764 


.45632 


.88981 


.47178 


.88172 


.48710 


.87335 


SI 


10 


.42525 


.90507 


.44098 


.89752 


•45658 


.88968 


•47204 


.88158 


.48735 


.87321 


so 


II 


.42552 


•90495 


.44124 


.89739 


.45684 


.88955 


.47229 


.88144 


.48761 


.87306 


49 


12 


.42578 


• 90483 


.44151 


.89726 


.45710 


.88942 


•47255 


.88130 


.48786 


.87292 


48 


13 


.42604 


.90470 


•44177 


.89713 


•45736 


.88928 


.47281 


.88117 


.48811 


.87278 


47 


14 


.42631 


.90458 


.44203 


.89700 


.45762 


.88915 


.47306 


.88103 


.48837 


.87264 


46 


15 


.42657 


.90446 


.44229 


.89687 


.45787 


.88902 


.47332 


.88089 


.48862 


.87250 


45 


16 


.42683 


.90433 


•44255 


.89674 


.45813 


.88888 


.47358 


.88075 


.48888 


.87235 


44 


17 


.42709 


.90421 


.44281 


.89662 


• 45839 


.88875 


.47383 


.88062 


.48913 


.87221 


43 


18 


.42736 


.90408 


.44307 


.89649 


.45865 


.88862 


.47409 


.88048 


.48938 


.87207 


42 


19 


.42762 


.90396 


.44333 


.89636 


•45891 


.88848 


.47434 


.88034 


.48564 


.87193 


41 


20 


.42788 


.90383 


.44359 


.89623 


.45917 


.88835 


.47460 


.88020 


.48989 


.87178 


40 


21 


.42815 


.90371 


.44385 


.89610 


.45942 


.88822 


.47486 


.88006 


.49014 


.87164 


39 


22 


.42841 


.90358 


•44411 


.89597 


•45968 


.88808 


.47511 


.87993 


.49040 


.87150 


38 


23 


.42867 


•90346 


.44437 


.89584 


•45994 


.88795 


.47537 


.87979 


.49065 


.87156 


37 


24 


.42894 


•90334 


.44464 


•89571 


.460^0 


.88782 


.47562 


.87965 


.49090 


.87121 


36 


25 


.42920 


•90321 


.44490 


•89558 


.46046 


.88768 


.47588 


.87951 


.49116 


.87107 


35 


26 


.42946 


•90309 


.44516 


•8954s 


.46072 


.88755 


.47614 


.87937 


.49141 


.87093 


34 


27 


.42972 


.90296 


•44542 


•89532 


.46097 


.88741 


•47639 


.87923 


.49166 


.87079 


33 


28 


.42999 


.90284 


.44568 


•89519 


.46123 


.8S728 


•47665 


.87909 


.49192 


.87064 


32 


29 


.43025 


.90271 


.44594 


.89506 


.46149 


.88715 


•47690 


.878Q6 


.49217 


.87050 


31 


30 


.43051 


.90259 


.44620 


.89493 


.46175 


.88701 


.47716 


.87882 


.49242 


.87036 


30 


31 


.43077 


.90246 


.44646 


.89480 


.46201 


.88688 


.47741 


.87868 


.49268 


.87021 


29 


32 


.43104 


.90233 


.44672 


.89467 


.46226 


.88674 


•47767 


.87854 


.49293 


.87007 


28 


33 


.43130 


.90221 


.44698 


.89454 


.46252 


.88661 


.47793 


.87840 


.49318 


.86993 


27 


34 


.43156 


.00208 


.44724 


.89441 


.46278 


.88647 


.47818 


.87826 


.49344 


.86978 


26 


35 


.43182 


.90196 


•44750 


.89428 


.46304 


.88634 


.47844 


.87812 


.49369 


.86964 


25 


36 


.43209 


.90183 


•44776 


•.89415 


.46330 


.88620 


.47869 


.87798 


.49394 


.86949 


24 


,. 


.43235 


.90171 


.44802 


.89402 


.46355 


.88607 


•4789s 


.87784 


.49419 


.8693s 


23 


38 


.43261 


.90158 


.44828 


.89389 


.46381 


.88593 


•47920 


•87770 


.49445 


.86921 


22 


39 


.43287 


.90146 


•44854 


.89376 


.46407 


.88580 


•47946 


.87756 


.49470 


.86906 


21 


40 


.43313 


.90133 


.44880 


.89363 


.46433 


.88566 


.47971 


.87743 


.49495 


.86892 


20 


' 41 


.43340 


.90120 


.44906 


•89350 


.46458 


.88553 


• 47997 


•87729 


.49521 


.86878 


19 


42 


.43366 


.90108 


.44932 


•89337 


.46484 


.88539 


,48022 


.8771S 


.49546 


.86863 


18 


43 


.43392 


•90095 


.44958 


•89324 


.46510 


.88526 


.48048 


.87701 


•49571 


.86849 


17 


44 


.43418 


.90082 


.44984 


•893 1 1 


.46536 


.88512 


.48073 


.87687 


•49596 


.86834 


16 


45 


.43445 


.90070 


.45010 


.89298 


.46561 


.8S499 


.48099 


.87673 


.49622 


.86820 


IS 


46 


.43471 


•90057 


.45036 


.89285 


.46587 


.83485 


.4S124 


.87659 


.49647 


.86805 


14 


47 


.43497 


.90045 


.45062 


.89272 


.46613 


.83472 


.48150 


•87645 


.49672 


.86791 


13 


48 


.43523 


.90032 


.45088 


.89259 


.46639 


.88458 


.48175 


.87631 


.49697 


.86777 


12 


49 


.43549 


.90019 


.45114 


•8924s 


.46664 


.88445 


.4S201 


.87617 


•49723 


.86762 


II 


SO 


•43575 


.90007 


.45140 


.89232 


.46690 


.88431 


.4S226 


.87603 


•49748 


.86748 


10 


51 


.43602 


.89994 


.45166 


.89219 


.46716 


.88417 


.4S252 


.87589 


.49773 


M733 


9 


52 


.43628 


.89981 


•45192 


.89206 


.46742 


.88404 


.4S277 


•8757s 


.49798 


.86719 


8 


53 


.43654 


.89968 


•45218 


•89193 


.46767 


.88390 


.48303 


.87561 


.45824 


.86704 


7 


54 


.43680 


.89956 


•45243 


.89180 


.46793 


.88377 


.48328 


.87546 


•49849 


.86690 


6 


55 


.43706 


.8y943 


•45269 


.89167 


.46819 


.88363 


.48354 


•87532 


.49874 


.86675 


5 


S6 


•43733 


.89930 


•45295 


•89153 


.46844 


.88349 


.48379 


.87518 


.49S99 


.86661 


4 


57 


•43759 


.89918 


.45321 


.89140 


.46870 


.88336 


.48405 


.87504 


.49924 


.86646 


3 


58 


.43785 


.89905 


.45347 


.89127 


.46896 


.88322 


.48430 


•87490 


.49950 


.86632 


2 


59 


.43811 


.89892 


.45373 


.89114 


.46921 


.88308 


.48456 


.87476 


.49975 


.86617 


I 


60 


.43837 


.89879 


.45399 


.89101 


.46947 


.88295 


.48481 


.87462 


.50000 


.86603 





/ 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


/ 


6 


4° 


6 


3° 


6 


2° 


6 


[° 


6 


0° 



I04 



BROWN & SHARPE MFG. CO. 

NATURAL SINES AND COSINES 



/ 


30 


° 


31 





32° 


33° 


34° 


/ 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 





.50000 


.86603 


•51504 


•85717 


.52992 


.8480s 


.54464 


.83867 


.55919 


.82904 


60 


I 


.50025 


.86588 


•51529 


•85702 


.53017 


.84789 


.54488 


.83851 


.55943 


.82887 


59 


2 


.50050 


•86573 


.51554 


.85687 


.53041 


.84774 


.54513 


•83835 


.55968 


.82871 


S8 


3 


.50076 


•86559 


.51579 


.85672 


.53066 


.84759 


.54537 


.83819 


•55992 


.82855 


57 


4 


.50101 


.86544 


.51604 


•85657 


.53091 


.84743 


.54561 


.83804 


.56016 


.82839 


S6 


S 


.50126 


.86530 


.51628 


•85642 


.53115 


.84728 


.54586 


.83788 


.56040 


.82822 


55 


6 


.S0151 


.86515 


.51653 


•85627 


..53140 


.84712 


.54610 


.83772 


.56064 


.82806 


54 


7 


.50176 


.86501 


.51678 


.85612 


•53164 


.84697 


.54635 


•83756 


.56088 


.82790 


53 


8 


.50201 


.86486 


•S1703 


•85597 


•53189 


.84681 


.54659 


•83740 


.56112 


.82773 


52 


9 


.50227 


.86471 


.51728 


•85582 


•S32I4 


.84666 


.54683 


.83724 


.56136 


.82757 


51 


10 


.50252 


.86457 


•S1753 


•85567 


.53238 


.84650 


.54708 


.83708 


.56160 


.82741 


SO 


II 


•50277 


.86442 


•51778 


.85551 


.53263 


•8463s 


.54732 


.83692 


.56184 


.82724 


49 


12 


.50302 


.86427 


.51803 


.85536 


.53288 


.84619 


.54756 


.83676 


.56208 


.82708 


48 


13 


•50327 


.86413 


.51828 


•85521 


.53312 


.84604 


.54781 


.83660 


.56232 


.82692 


47 


14 


•50352 


.86398 


.51852 


•85506 


.53337 


.84588 


.54805 


.83645 


.56256 


.82675 


46 


IS 


.50377 


.86384 


.51877 


•85491 


.53361 


.84573 


.54829 


.83629 


.56280 


.82659 


45 


i6 


.50403 


.86369 


•51902 


.85476 


.53386 


.84557 


.54854 


.83613 


.56305 


.82643 


44 


17 


.50428 


.86354 


•51927 


.85461 


.53411 


•84542 


.54878 


.83597 


.56329 


.82626 


43 


i8 


.50453 


.86340 


•51952 


.85446 


.53435 


.84526 


.54902 


.83581 


.56353 


.82610 


42 


19 


.50478 


.86325 


•S1977 


•85431 


.53460 


.84511 


.54927 


.83565 


•56377 


.82593 


41 


20 


•50503 


.86310 


.52002 


.85416 


.53484 


.84495 


.54951 


.83549 


• 56401 


.8257f 


40 


21 


.50528 


.86295 


.52026 


.85401 


.53509 


.84480 


.5497s 


.83533 


•5642s 


.82561 


39 


22 


.50553 


.86281 


.52051 


.85385 


.53534 


.84464 


.54999 


.83517 


.56449 


.82544 


38 


23 


.50578 


.86266 


.52076 


•85370 


.53558 


.84448 


.55024 


.83501 


• 56473 


.82528 


37 


24 


.50603 


.86251 


.52101 


.85355 


.53583 


.84433 


.55048 


.83485 


.56497 


.82511 


36 


2S 


.50628 


M2Z1 


.52126 


•85340 


.53607 


.84417 


.55072 


.83469 


.56521 


.82495 


35 


26 


.50654 


.86222 


•52151 


.85325 


.53632 


.84402 


.55097 


.83453 


.56545 


.82478 


34 




.50679 


.86207 


•52175 


•85310 


.53656 


.84386 


•55121 


.83437 


.56569 


.82462 


33 


28 


.50704 


.86192 


.52200 


•85294 


.53681 


.84370 


•5514s 


.83421 


.56593 


.82446 


32 


29 


.50729 


.86178 


.52225 


.85279 


.53705 


.84355 


.55169 


.83405 


.56617 


.82429 


31 


30 


.50754 


.86163 


.52250 


.85264 


.53730 


.84339 


.55194 


.83389 


• 56641 


.82413 


30 


31 


.50779 


.86148 


.52275 


.85249 


•53754 


.84324 


•55218 


.83373 


.56665 


.82396 


29 


32 


.50804 


.86133 


•52299 


.85234 


.53779 


.84308 


• 55242 


.83356 


.56689 


.82380 


28 


33 


.50829 


.86119 


•52324 


.85218 




.84292 


•55266 


.83340 


.56713 


.82363 


27' 


34 


.50854 


.86104 


•52349 


.85203 


:53828 


.84277 


•55291 


.83324 


.56736 


.82347 


26 


35 


.50879 


.86089 


.52374 


.85188 


.53853 


.84261 


•55315 


.83308 


.56760 


.82330 


25 


36 


.50904 


.86074 


.52399 


.85173 


.53877 


.84245 


•55339 


.83292 


.56784 


.82314 


24 


37 


.50929 


.86059 


•52423 


.85157 


•53902 


.84230 


.55363 


.83276 


.56808 


.82297 


2Z 


38 


•S0954 


.86045 


•52448 


.85142 


•53926 


.84214 


.55388 


.83260 


.56832 


.82281 


22 


39 


.50979 


.86030 


.52473 


.85127 


.53951 


.84198 


.55412 


.83244 


.56856 


.82264 


21 


40 


.51004 


.86015 


.52498 


.85112 


.53975 


.84182 


.55436 


.83228 


.56880 


.82248 


20 


41 


.51029 


.86000 


.52522 


.85096 


.54000 


.84167 


.55460 


.83212 


.56904 


.82231 


19 


42 


•51054 


•85985 


.52547 


.85081 


.54024 


.84151 


.55484 


.83195 


.56928 


.82214 


18 


43 


.51079 


.85970 


.52572 


.85066 


.54049 


.84135 


.55509 


.83179 


.56952 


.82198 


17 


44 


.51104 


.85956 


.52597 


.85051 


.54073 


.84120 


.55533 


.83163 


.56976 


.82181 


16 


45 


.51129 


•85941 


•52621 


.85035 


•54097 


.84104 


.55557 


.83147 


.57000 


.82165 


15 


46 


.51154 


•85926 


.52646 


.85020 


.54122 


.84088 


.SSSSi 


.83131 


.57024 


.82148 


14 


47 


.51179 


•85911 


.52671 


•85005 


.54146 


.84072 


.55605 


.831 IS 


.57047 


.82132 


13 


48 


.51204 


.85896 


.52696 


.84989 


.54171 


.84057 


.55630 


.83098 


.57071 


.82115 


12 


49 


.51229 


.85881 


.52720 


.84974 


.54195 


.84041 


.55654 


.83082 


.57005 


.82098 


II 


50 


•51254 


.B5866 


•52745 


.84959 


.54220 


.84025 


.55678 


.83066 


•57119 


.82082 


10 


51 


• SI 279 


.85851 


.52770 


.84943 


.54244 


.84009 


•55702 


.83050 


•57143 


.82065 


9 


52 


.51304 


.85836 


.52794 


.84928 


.54269 


.83994 


.55726 


.83034 


•57167 


.82048 


8 


S3 


.51329 


.85821 


.52819 


.84913 


.54293 


.83978 


•55750 


.83017 


•57191 


.82032 


7 


54 


.51354 


.85806 


.52844 


.84897 


.54317 


.83962 


•55775 


.83001 


•5721s 


.82015 


6 


SS 


.51379 


•85792 


.52869 


.84882 


.54342 


.83946 


.55799 


.8298s 


•57238 


.81999 


5 


S6 


•51404 


•85777 


.52893 


.84866 


.54366 


.83930 


•55823 


.82969 


.57262 


.81982 


4 


57 


•51429 


.85762 


.52918 


.84851 


•54391 


.83915 


.55847 


.82953 


•57286 


.81965 


3 


58 


•51454 


.85747 


.52943 


.84836 


•54415 


.83899 


.55871 


.82936 


.57310 


.81949 


2 


59 


•51479 


•85732 


•52967 


.84820 


.54440 


.83883 


.55895 


.82920 


.57334 


.81932 


1 


60 


•51504 


•85717 


.52992 


.84805 


.54464 


.83867 


.55919 


.82904 


.57358 


.81915 





/ 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


1 


59 





58 





5; 


70 


5^ 


>° 


5f 


.0 

> 



BROWN & SHARPE MFG. CO. 



105 



NATURAL SINES AND COSINES 



f 


35° 


36° 


37° 


38° 


39° 


/ 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 





.57358 


.81915 


.58779 


.80902 


.60182 


.79864 


.61566 


.78801 


.62532 


.7771S 


60 


I 


.57381 


.81899 


.5 802 


.80885 


.60205 


.79846 


.61589 


.78783 


.62955 


.77696 


59 


2 


.57405 


.8188:: 


.5 826 


.80867 


.60228 


.79829 


.61612 


.78765 


.62977 


.77678 


58 


3 


.57429 


.81865 


.58C49 


.80850 


.60251 


.79811 


.61J35 


.78747 


.63000 


.77660 


57 


4 


.57453 


.81848 


.58873 


.80833 


.60274 


.79793 


.61658 


.78729 


.63022 


.77641 


S6 


5 


.57477 


.81832 


.58896 


.80816 


.60298 


.79776 


.61681 


.78711 


.63045 


.77623 


55 


6 


.57501 


.8181S 


.58920 


.80799 


.60321 


.79758 


.61704 


.78694 


.63068 


.77605 


54 


7 


.57524 


.81798 


.58943 


.80782 


.60344 


.79741 


.61726 


.78676 


.63090 


.77586 


53 


8 


.57548 


.81782 


.58967 


.80765 


.60367 


.79723 


.61749 


.78658 


.63113 


.77568 


52 


9 


.57572 


.81765 


.58990 


.80748 


.60390 


.79706 


.61772 


.78640 


.63135 


.77550 


51 


10 


.57596 


.81748 


.59014 


.80730 


.60414 


.79688 


.6179s 


.78622 


.63158 


•77531 


SO 


II 


.57619 


.81731 


.59037 


.80713 


.60437 


.79671 


.61818 


.78604 


.63180 


•77513 


49 


12 


.57643 


.81714 


.59061 


.80696 


.60460 


.79653 


.61841 


.78586 


.63203 


•77494 


48 


13 


.57667 


.81698 


.59084 


.80679 


.60483 


.79635 


.61864 


.78568 


.63225 


•77476 


47 


14 


.57691 


.81681 


.59108 


.80662 


.60506 


.79618 


.61887 


.78550 


.63248 


•77458 


46 


15 


.5771S 


.81664 


.59131 


.80644 


.60529 


.79600 


.61909 


.78532 


.63271 


.77439 


45 


16 


.57738 


.81647 


.59154 


.80627 


•60553 


.79583 


.61932 


.78514 


•63293 


.77421 


44 


17 


.57762 


.81631 


.59178 


.80610 


.60576 


.79565 


.61955 


.78496 


.63316 


.77402 


43 


18 


.57786 


.81614 


.59201 


.80593 


.60599 


.79547 


.61978 


.78478 


.633.38 


.77384 


42 


19 


.57810 


.81597 


.59225 


.80576 


.60622 


.79530 


.62001 


.78460 


.63361 


.77366 


41 


20 


.57833 


.81580 


.59248 


.80558 


.6064s 


.79512 


.62024 


.78442 


.63383 


•77347 


40 


21 


.57857 


.81563 


.59272 


.80541 


.60668 


.79494 


.62046 


.78424 


.63406 


•77329 


39 


22 


.57881 


.81546 


.59295 


.80524 


.60691 


.79477 


.62069 


.78405 


.63428 


•77310 


38 


23 


.S7904 


.81530 


.59318 


.80507 


.60714 


.79459 


.62092 


.78387 


.63451 


.77292 


37 


24 


.57928 


.81513 


.59342 


.80489 


.60738 


.79441 


.62115 


.78369 


.63473 


.77273 


36 


25 


.57952 


.81496 


.59365 


.80472 


.60761 


.79424 


.62138 


.78351 


.63496 


.77255 


35 


26 


.57976 


.81479 


-59389 


.80455 


.60784 


,79406 


.62160 


.78333 


.63518 


.77236 


34 


27 


.57999 


.81462 


.59412 


.80438 


.60807 


.79388 


.62183 


.78315 


.63540 


.77218 


33 


28 


.58023 


.81445 


.59436 


.80420 


.60830 


.79371 


.62206 


.78297 


.63563 


.77199 


32 


29 


.58047 


.81428 


.59459 


.80403 


.60853 


•79353 


.62229 


.78279 


.63585 


.77181 


31 


30 


.58070 


.81412 


.59482 


.80386 


.60876 


.79335 


.62251 


.78261 


.63608 


.77162 


30 


31 


.58094 


.8139s 


.59506 


.80368 


.60899 


.79318 


.62274 


.78243 


.63630 


•77144 


29 


32 


.58118 


.81378 


.59529 


.80351 


.60922 


.79300 


.62297 


.78225 


.63653 


•7712s 


28 


33 


.58141 


.81361 


•59552 


.80334 


.60945 


.79282 


.62320 


.78206 


.63675 


•77107 


27 


34 


.5816s 


.81344 


.59576 


.80316 


.60968 


.79264 


.62342 


.78188 


.63698 


.77088 


26 


as 


.58189 


.81327 


.59599 


.80299 


.60991 


.79247 


.62365 


.78170 


.63720 


.77070 


25 


36 


.58212 


.81310 


.59622 


.80282 


.61015 


.79229 


.62388 


.78152 


.63742 


.77051 


24 


37 


.58236 


.81293 


.59646 


.80264 


.61038 


.79211 


.62411 


.78134 


.63765 


.77033 


23 


38 


.58260 


.81276 


.59669 


.80247 


.61061 


.79193 


.62433 


.78116 


.63787 


.77014 


22 


39 


.58283 


.81259 


.59693 


.80230 


.61084 


.79176 


.62456 


.78098 


.63810 


.76996 


21 


40 


.58307 


.81242 


.59716 


.80212 


.61107 


•79158 


.62479 


.78079 


.63832 


.76977 


20 


41 


.58330 


.81225 


•59739 


.80195 


.61130 


.79140 


.62502 


.78061 


.63854 


.76959 


19 


42 


.58354 


.81208 


.59763 


.80178 


.61153 


.79122 


.62524 


.78043 


.63877 


.76940 


18 


43 


.58378 


.81191 


.59786 


.80160 


.61176 


.79105 


.62547 


.78025 


.63899 


.76921 


17 


44 


.58401 


.81174 


.59809 


.80143 


.61199 


.79087 


.62570 


.78007 


.63922 


.76903 


16 


4S 


.58425 


.81157 


.59832 


.80125 


.61222 


.79069 


.62592 


.77988 


.63944 


.76384 


IS 


46 


.58449 


.81140 


.59856 


.80108 


.61245 


.79051 


.62615 


.77970 


.63966 


.76866 


14 


^E 


.58472 


.81123 


.59879 


.80091 


.61268 


.79033 


.62638 


.77952 


.63989 


.76847 


13 


48 


.58496 


.81106 


.59902 


.80073 


.61291 


.79016 


.62660 


.77934 


.64011 


.76828 




49 


.58519 


.81089 


.59926 


.80056 


.61314 


.78998 


.62683 


.77916 


.64033 


.76S10 


II 


50 


.38543 


.81072 


•59949 


.80038 


.61337 


.78980 


.62706 


.77897 


.64056 


.76791 


10 


SI 


.58567 


.81055 


.59972 


.80021 


.61360 


.78962 


.62728 


.77879 


.64078 


.76772 


9 


52 


■58590 


.81038 


.59995 


.80003 


.61383 


.78944 


•62751 


.77861 


.64100 


.76754 


8 


S3 


.58614 


.81021 


.60019 


.79986 


.61406 


.78926 


■62774 


.77843 


.64123 


•7673s 


7 


S4 


.58637 


.81004 


.60042 


.79968 


.61429 


.78908 


.62796 


.77824 


.64145 


•76717 


6 


SS 


.SG661 


.80987 


.60065 


■7995 I 


.61451 


.78891 


.62819 


.77806 


.64167 


.76698 


5 


S6 


.58684 


.80970 


.60089 


■79934 


.61474 


.78873 


.62842 


.77788 


.64190 


.76679 


4 


H 


.58708 


.80953 


.60112 


.79916 


■61497 


.78855 


.6;864 


.77769 


.64212 


.76661 


3 


S8 


.58731 


.80936 


.60135 


■ 79899 


.61520 


.78837 


.62887 


■77751 


.64234 


.76642 


2 


1^ 


.58755 


.80919 


.60158 


.79881 


.61543 


.78819 


.62909 


■77733 


.64256 


.76623 


I 


60 


.58779 


.80902 


.60182 


.79864 


.61566 


.78801 


.62932 


.77715 


.64279 


.76604 





/ 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


/ 


5^ 


i° 


5. 


?° 


5^ 


2° 


5 


[° 


5< 


3° 



Io6 BROWN & SHARPE MFG. CO. 

NATURAL SINES AND COSINES 



1 


40° 


41 





42- 


43° 


44° 


/ 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine C 


osine 


Sine 


Cosine 





.64279 


.76604 


.65606 


•75471 


.66913 


•74314 


.68200 . 


7313s 


.69466 


.71934 


60 


1 


.64301 


.76586 


.65628 


.75452 


.66935 


.74295 


.68221 . 


73116 


.69487 


•71914 


59 


2 


.64323 


.76567 


.65650 


•75433 


.66956 


•74276 


.68242 . 


73096 


.69508 


•71894 


S8 


3 


.64346 


.76548 


.65672 


•75414 


.66978 


.74256 


.68264 . 


73076 


.69529 


•71873 


57 


4 


.64368 


.76530 


.65694 


•75395 


.66999 


•74237 


.68285 . 


73056 


.69549 


•71853 


S6 


S 


.64390 


.76511 


.65716 


•75375 


.67021 


•74217 


.68306 . 


73036 


.69570 


•71833 


SS 


6 


.64412 


.76492 


.65738 


.75356 


.67043 


•74198 


.68327 . 


73016 


•6959> 


•71813 


54 


7 


.64435 


.76473 


.65759 


•75337 


.67064 


•74178 


.68349 . 


72996 


.69612 


.71792 


S3 


8 


.64457 


.76455 


.65781 


•75318 


.67086 


•74159 


.68370 


72976 


.69633 


.71772 


52 


9 


.64479 


.76436 


.65803 


•75299 


.67107 


•74139 


.68391 • 


72957 


.69654 


.71752 


SI 


10 


.64501 


.76417 


.65825 


.75280 


.67129 


.74120 


.68412 


72937 


.69675 


.71732 


SO 


II 


.64524 


.76398 


.65847 


.75261 


.671S1 


.74100 


.68434 


72917 


.69696 


.71711 


49 


12 


.64546 


.76380 


.65869 


.75241 


.67172 


.74080 


.68455 


72897 


.69717 


.71691 


48 


13 


.64568 


.76361 


.65891 


.75222 


.67194 


.74061 


.68476 


72877 


.69737 


•71671 


47 


14 


.64590 


.76342 


.65913 


.75203 


.67215 


.74041 


.68497 


72857 


.69758 


•71650 


46 


15 


.64612 


.76323 


.65935 


.75184 


.67237 


.74022 


.68518 


72837 


.69779 


•71630 


45 


i6 


.64635 


.76304 


.65956 


.75165 


.67258 


.74002 


.68539 


72817 


.69800 


.71610 


44 


17 


.64657 


.76286 


.65978 


.75146 


.67280 


.73983 


.68561 


72797 


.69821 


.71590 


43 


i8 


.64679 


.76267 


.66000 


.75126 


.67301 


.73963 


.68582 


72777 


.6.842 


.71569 


42 


19 


.64701 


.76248 


.66022 


.75107 


•67323 


.73944 


.68603 


72757 


.69I62 


.71549 


41 


20 


.64723 


.76229 


.66044 


.75088 


.67344 


.73924 


.68624 


72737 


.69883 


•71529 


40 


21 


.64746 


.76210 


.66066 


.75069 


.67366 


.73904 


.68645 


72717 


.69904 


•71508 


39 


22 


.64768 


.76192 


.66088 


•75050 


.67387 


.73885 


.68666 


72697 


.69925 


.71488 


38 


23 


.64790 


.76173 


.66109 


.75030 


.67409 


.73865 


.68688 


72677 


.69946 


.71468 


37 


24 


.64812 


.76154 


.66131 


.75011 


.67430 


.73846 


.68709 


72657 


.69966 


.71447 


36 


25 


.64834 


.76135 


.66153 


.74992 


.67452 


.73826 


.68730 


72637 


.69987 


.71427 


35 


26 


.64S56 


.76116 


.66175 


.74973 


.67473 


.73806 


.68751 


72617 


.70008 


.71407 


34 


27 


.64878 


.76097 


.66197 


.74953 


.67495 


.73787 


.6:772 


72597 


.70029 


.71386 


33 


28 


.64901 


.76078 


.66218 


.74934 


.6-516 


.73767 


.68793 


72577 


.70049 


.71366 


32 


29 


.64923 


.76059 


.66240 


.74915 


.67538 


.73747 


.68C14 


72557 


.70070 


.71345 


31 


30 


.64945 


.76041 


.66262 


.74896 


.67559 


.73728 


.CGG3S 


72:37 


.70091 


•71325 


30 


31 


.64967 


.76022 


.66284 


.74876 


.67580 


.73708 


.68857 


72517 


.70112 


•7130S 


29 


32 


.64989 


.76003 


.66306 


.74857 


.67602 


.736S8 


.68878 


72497 


.70132 


.71284 


28 


33 


.65011 


.75984 


.66327 


.74838 


.67623 


.73669 


.68859 


72477 


.70153 


.71264 


27 


34 


.65033 


.75965 


.66349 


.74818 


.67645 


.73649 


.68920 


72457 


.70174 


.71243 


26 


35 


.65055 


.75946 


.66371 


.74799 


.67666 


.73629 


.68941 


72437 


.70195 


.71223 


25 


36 


.65077 


•75927 


.66393 


.74780 


.676S8 


.73610 


.68962 


72417 


.70215 


.71203 


24 


37 


.65100 


.75908 


.66414 


.74760 


.67709 


.73590 


.68983 


72397 


.70236 


.71182 


23 


38 


.65122 


.75889 


.66436 


.74741 


•67730 


.73570 


.69004 


72377 


.70257 


.71162 


22 


39 


.65144 


.75870 


.66458 


.74722 


.67752 


.73551 


.69025 


72357 


.70277 


.71141 


21 


40 


.65166 


.75851 


.66480 


.74703 


.67773 


.73531 


.69046 


72327 


.70298 


.71121 


20 


41 


.65188 


.75832 


.66501 


.74683 


.67795 


.73511 


.69067 


72317 


.70319 


.71100 


19 


42 


.65210 


.75813 


.66523 


.74664 


.67816 


.73491 


.69088 


72297 


.70339 


.71080 


18 


43 


.65232 


.75794 


.66545 


.74644 


.67837 


.73472 


.69109 


72277 


.70360 


.71059 


17 


44 


.65254 


.75775 


.66566 


.74625 


.67859 


.73452 


.69130 


72257 


.70381 


.71039 


16 


45 


.65276 


.75756 


.66588 


.74606 


.67880 


.73432 


.69151 


72236 


.70401 


.71019 


15 


46 


.65298 


.75738 


66610 


.74586 


.67901 


•73413 


.69172 


72216 


.70422 


.70998 


14 


47 


.65320 


.75719 


.66632 


.74567 


.67923 


•73393 


.69193 


72196 


.70443 


.70978 


13 


48 


.65342 


.75700 


.66653 


.74548 


.67944 


• 73373 


.69214 


72176 


.70463 


.70957 


12 


49 


.65364 


.75680 


.66675 


.74528 


.67965 


.73353 


.69235 


72156 


.70484 


.70937 


II 


50 


.65386 


.75661 


.66697 


.74509 


.67987 


.73232 


.69256 


72136 


.7050s 


.70916 


10 


51 


.65408 


.75642 


.66718 


.74489 


.68008 


.73314 


.69277 


72116 


.70525 


.70896 


9 


52 


.65430 


.75623 


.66740 


.74470 


.68029 


•73294 


.69298 


72095 


.70546 


.70875 


8 


S3 


.65452 


.75604 


.66762 


.74451 


.68051 


•73274 


.69319 


72075 


.70567 


.70855 


7 


54 


.65474 


.75585 


.66783 


.74431 


.68072 


•73254 


.69340 


72055 


.70587 


.70834 


6 


55 


.65496 


.75566 


.66805 


.74412 


.68093 


• 73234 


.69361 


72035 


.70608 


.70813 


S 


56 


.65518 


.75547 


.66827 


.74392 


.68115 


.73215 


.69382 


72015 


.70628 


.70793 


4 


57 


.65540 


.75528 


.66848 


.74373 


.68136 


.73195 


.69403 


71995 


.70649 


.70772 


3 


58 


.65562 


.75509 


.66870 


•74353 


.68157 


.73175 


.69424 


71974 


.70670 


.70753 


2 


59 


.65584 


.75490 


.66891 


.74334 


.68179 


.73155 


.69445 


71954 


.70690 


.70731 


I 


60 


.65606 


.75471 


.66913 


.74314 


.68200 


.73135 


.69466 


71934 


.70711 


.70711 





/ 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


/ 


4< 


?° 


4^ 


B° 


4 


7° 


46^ 


3 


4 


5° 



BROWN & SHARPE MFG. CO. 



107 



NATURAL TANGENTS AND COTANGENTS 



/ 








1° 


2° 


3 





4° 


/ 


Tang: 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 





.00000 


Infinite 


.01746 


57.2900 


.03492 


28,6363 


,05241 


19.0811 


,06993 


14.3007 


60 


J 


.00029 


3437-75 


.01775 


56,3506 


.03521 


28.3994 


,05270 


18.9755 


,07022 


14.2411 


59 


2 


.00058 


1718.87 


.01804 


55.4415 


.03550 


28,1664 


.05299 


18,8711 


,07051 


14.1821 


58 


3 


.00087 


1145.92 


.01833 


54.5613 


-03579 


27.9372 


.05328 


18.7678 


,07080 


14.1235 


57 


4 


,00116 


859.436 


.01862 


5'3.7o86 


.03609 


27.7117 


.05357 


18.6656 


,07110 


14.0655 


56 


S 


.00145 


687.549 


,01891 


52.8821 


.03638 


27.4899 


.05387 


18.5645 


,07139 


14.0079 


55 


6 


.00175 


572.957 


,01920 


52.0807 


.03667 


27.271s 


.05416 


18.464s 


.07168 


13.9507 


54 


7 


.00204 


491.106 


.01949 


Si.3032 


.03696 


27.0566 


.05445 


18.365s 


.07197 


13.8940 


53 


8 


.00233 


429.718 


.01978 


50.5485 


.03725 


26.8450 


.05474 


18.2677 


,07227 


13.8378 


52 


g 


.00262 


381.971 


.02007 


49.8157 


.03754 


26.6367 


.05503 


18.1708 


.07256 


13.7821 


51 


10 


.00291 


343.774 


.02036 


49.1039 


.03783 


26.4316 


.05533 


18.0750 


,0728s 


13.7267 


SO 


II 


,00320 


312.521 


.02066 


48,4121 


.03812 


26,2296 


.05562 


17.9802 


.07314 


13.6719 


49 


12 


.00349 


286.478 


.02095 


47.7395 


.03842 


26.0307 


.05591 


17.8863 


.07344 


13-6174 


48 


13 


.00378 


264.441 


,02124 


47.0853 


.03871 


25,8348 


.05620 


17.7934 


.07373 


13.5634 


47 


14 


.C0407 


245.552 


,02153 


46.4489 


.03900 


25.6418 


.05649 


17.701S 


.07402 


13.5098 


46 


IS 


.00436 


229.182 


,02182 


45.8294 


,03929 


25.4517 


.05678 


17.6106 


.07431 


13.4566 


45 


16 


.00465 


214.858 


,02211 


45.2261 


.03958 


25.2644 


,05708 


17.5205 


.07461 


13.4039 


44 


17 


.00495 


202.219 


.02240 


44.6386 


.03987 


25.0798 


.05737 


17.4314 


.07490 


13.3515 


43 


18 


.00524 


190.984 


,02269 


44.0661 


.04016 


24.8978 


,05766 


17.3432 


.07519 


13.2996 


42 


19 


.00353 


180.932 


,02298 


43.5081 


.04046 


24.718s 


.05795 


17.2558 


.07548 


13.2480 


41 


20 


,00582 


171.885 


,02328 


42.9641 


.04075 


24.5418 


,05824 


17.1693 


.07578 


13.1969 


40 


21 


.00611 


163.700 


.02357 


42.4335 


,04104 


24.3675 


.05854 


17.0837 


.07607 


13.1461 


39 


22 


,00640 


156.259 


.02386 


41.9158 


.04133 


24.1957 


.05883 


16.9990 


.07636 


13.0958 


38 


23 


.00669 


149.46s 


.0241s 


41.4106 


.04162 


24.0263 


.05912 


16.9150 


.07665 


13-0458 


37 


24 


.00698 


143.237 


.02444 


40.9174 


,04191 


23.8593 


.05941 


16.8319 


.07695 


12.9962 


36 


25 


.00727 


137.507 


.02473 


40.4358 


.04220 


23.694s 


.05970 


16.7496 


.07724 


12.9469 


35 


26 


.00756 


132.219 


.02502 


39.965s 


,04250 


23.5321 


.05999 


16.6681 


.07753 


12.8981 


34 


27 


.0078s 


127.321 


.02531 


39.5059 


.04279 


23.3718 


.06029 


16.5874 


,07782 


12.8496 


33 


28 


.0081S 


122.774 


,02560 


39.0568 


.04308 


23.2137 


.06058 


16.5075 


.07812 


12.8014 


32 


29 


.00844 


118.540 


,02589 


38.6177 


.04337 


23.0577 


.06087 


16.4283 


.07841 


12.7536 


31 


30 


.C0873 


114.589 


.02^19 


38.1885 


,04366 


22.9038 


.06116 


16.3499 


,07870 


12.7062 


30 


31 


.00902 


110.892 


.02648 


37.7686 


.04395 


22.7519 


.06145 


16.2722 


,07899 


12.6591 


29 


32 


.00931 


107.426 


.02677 


37-3579 


,04424 


22.6020 


.06175 


16.1952 


,07929 


12.6124 


28 


33 


.00960 


104.171 


.02706 


36-9560 


.04454 


22.4S4I 


.06204 


16.1190 


.07958 


12.5660 


27 


34 


.00989 


101.107 


.02735 


36.5627 


.04483 


22,3081 


.06233 


16.0435 


.07987 


12.5199 


26 


35 


.01018 


98.2179 


.02764 


36.1776 


.04512 


22,1640 


.06262 


15.9687 


.08017 


12.4742 


25 


36 


,01047 


95.4895 


.02793 


35-8006 


.04541 


22.0217 


.06291 


15.894s 


.08046 


12.4288 


24 


37 


,01076 


92.9085 


.02822 


35.4313 


.04570 


21,8813 


.06321 


15.8211 


.08075 


12.3838 


23 


38 


,01105 


90.4633 


.02851 


35-0695 


.04599 


.1.7426 


.06350 


15.7483 


.08104 


12.3390 


22 


39 


.01135 


88.1436 


.02881 


34.7151 


.04628 


21.6056 


,06379 


15.6762 


.08134 


12.2946 


21 


40 


.01164 


85.9398 


.02910 


34.3678 


.04658 


21,4704 


,06408 


15-6048 


.08163 


12.2505 


20 


41 


.01193 


83.843s 


.02939 


34.0273 


.04687 


21,3369 


.06437 


15.5340 


.08192 


12.2067 


19 


42 


.01222 


81,8470 


.02968 


33-6935 


.047^6 


21.2049 


.06467 


15.4638 


.08221 


12.1632 


18 


43 


.01231 


79.9434 


.02997 


33-3662 


.04745 


21.0747 


,06496 


15-3943 


.08251 


12.1201 


17 


44 


,01280 


78.1263 


,03026 


33-0452 


.04774 


20.9460 


.06525 


15.3254 


.08280 


12.0772 


16 


4S 


.01309 


76.3900 


.03055 


32.7303 


,04803 


20.8i88 


.06554 


15.2571 


.08309 


12.0346 


15 


46 


.01338 


74.7292 


.03084 


32.4213 


.04833 


20.6932 


.06584 


15-1893 


.08339 


11.9923 


14 


^l 


.01367 


73.1390 


.03114 


32.1181 


,04862 


20.5691 


.06613 


15.1222 


.08368 


11.9504 


13 


48 


.01396 


71.6151 


.03143 


31-8205 


,04891 


20.446s 


.06642 


15-0557 


.08397 


11.9087 


12 


49 


.01423 


70.1533 


.03172 


31.5284 


.04920 


20.3253 


.06671 


14.9898 


.08427 


11.8673 


11 


SO 


.01455 


68.750* 


,03201 


31.2416 


.04949 


20.2056 


.06700 


14.9244 


,08456 


11.8262 


10 


SI 


.01484 


67.4019 


.03230 


30.9599 


.04978 


20.0872 


.06730 


14.8596 


.0848s 


11.7853 


9 


52 


.01513 


66.1055 


.03259 


30.6833 


.05007 


19.9702 


.06759 


14-7954 


.08514 


11.7448 


8 


53 


.01542 


64.8580 


.03288 


30,4116 


.05037 


19.8546 


.06788 


14.7317 


-08544 


11.7045 


7 


S4 


.01571 


63.6567 


.03317 


30.1446 


,05066 


19.7403 


,06817 


14.668s 


.08573 


11.6645 


6 


55 


.01600 


62.4992 


.03346 


29.8823 


.05095 


19.6273 


.06847 


14.6059 


,08602 


11.6248 


S 


S6 


,01629 


61.3825 


.03376 


29.6245 


.05124 


19.5156 


.06876 


14.5438 


.08632 


11-5853 


4 


H 


.01658 


60.3058 


.03405 


29.3711 


.05153 


19.4051 


.06905 


14.4823 


.08661 


11-5461 


3 


58 


.01687 


59.2659 


.03434 


29.1220 


.05182 


19.2959 


.06934 


14.4212 


.08690 


11.5072 


2 


59 


.01716 


58.2612 


•03463 


28.8771 


,05212 


19.1879 


.06963 


14.3607 


.08720 


11,468s 


I 


60 


.01746 


57.2900 


.03492 


28,6363 


,05241 


.19.0811 


.06993 


14.3007 


,08749 


XI. 4301 





/ 


Cotangr 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


/ 


8( 


3° 


88° 


87° 


8( 


5° 


8 


5° 



Io8 BROWN & SHARPE MFG. CO. 

NATURAL TANGENTS AND COTANGENTS 



/ 


5 





6° 


7° 


8° 


9° 


/ 


Tangf 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 





.08749 


11.4301 


.10510 


9.51436 


.12278 


8.14435 


.14054 


7.11537 


.15838 


6-31375 


60 


I 


.08778 


11.3919 


.10540 


9.48781 


.12308 


8.12481 


.14084 


7.10038 


.15868 


6.30189 


59 


2 


,08807 


11.3540 


.10569 


9.46141 


.12338 


8.10536 


.14113 


7.08546 


.15898 


6.29007 


58 


3 


.08837 


11.3163 


.10599 


9-43515 


.12367 


8.08600 


.14143 


7.07059 


.15928 


6.27829 


57 


4 


.08866 


11.2789 


.10628 


9.40904 


.12397 


8.06674 


.14173 


7.05579 


.15958 


6.26655 


56 




.08895 


11.2417 


.10657 


9.38307 


.12426 


8.04756 


.14202 


7.04105 


.15988 


6.25486 


55 


6 


.08925 


11.2048 


.10687 


9.35724 


.12456 


8.02848 


.14232 


7.02637 


.16017 


6.24321 


54 


7 


.08954 


II.1681 


.10716 


9-33155 


.12485 


8.00948 


.14262 


7.01174 


.16047 


6.23160 


S3 


8 


.08983 


11.1316 


.10746 


9.30599 


.1251S 


7.99058 


.14291 


6.99718 


.16077 


6.22003 


52 


9 


.09013 


II.09S4 


.10775 


9.28058 


.12544 


7.97176 


.14321 


6.98268 


.16107 


6.20851 


SI 


10 


.09042 


11.0594 


.10805 


9.25530 


• I2S74 


7-95302 


.14351 


6.96823 


.16137 


6.19703 


50 


11 


.09071 


11.0237 


.10834 


9.23016 


.12603 


7.93438 


.14381 


6.95385 


.16167 


6.18559 


49 


12 


.09101 


10.9882 


.10863 


9.20516 


.12633 


7.91582 


.14410 


6.93952 


.16196 


6.17419 


48 


13 


.09130 


10.9529 


.10893 


9.18028 


.12662 


7-89734 


.14440 


6.92525 


.16226 


6.16283 


47 


14 


.09159 


10.9178 


.10922 


9.15554 


.12692 


7-87895 


.14470 


6.91104 


.16256 


6.15151 


46 


IS 


.09189 


10.8829 


.10952 


9.13093 


.12722 


7.86064 


.14499 


6 89688 


.16286 


6.14023 


45 


i6 


.09218 


10.8483 


.10381 


9.10646 


.12751 


7.84242 


.14529 


6.88278 


.16316 


6.12899 


44 


17 


.09247 


10.8139 


.11011 


9.08211 


.12781 


7.82428 


.14559 


6.86874 


.16346 


6.11779 


43 


i8 


.09277 


10.7797 


.11040 


9.05789 


.12810 


7.80622 


.14588 


6.85475 


.16376 


6.10664 


42 


19 


.09306 


10.7457 


.11070 


9-03379 


.12840 


7.78825 


.14618 


6.84082 


.16405 


6.09552 


41 


20 


.09335 


10.7119 


.11099 


9.00983 


.12869 


7.77035 


.14648 


6.82694 


•1643s 


6.08444 


40 


21 


.09365 


10.6783 


.11128 


8.98598 


.12899 


7.75254 


.14678 


6.81312 


.16465 


6.07340 


39 


22 


.09394 


10.6450 


.11158 


8.96227 


.12929 


7.73480 


.14707 


6.79936 


.16495 


6.06240 


38 


23 


.09423 


10.6118 


.11187 


8.93867 


.12958 


7.71715 


.14737 


6.78564 


.16525 


6.05143 


37 


24 


.09453 


10.5789 


.11217 


8.91520 




7-69957 


.14767 


6.77199 


.16555 


6.04051 


36 


25 


.09482 


10.5462 


.11246 


8.89185 


.13017 


7.68208 


.14796 


6.75838 


.16585 


6.02962 


35 


26 


.09511 


10.5136 


.11276 


8.86862 


.13047 


7.66466 


.14826 


6.74483 


.16615 


6.01878 


34 


27 


.09541 


10.4813 


.11305 


8.84551 


.13076 


7.64732 


.14856 


6.73133 


.16645 


6.00797 


33 


28 


.09570 


10.4491 


.11335 


8.82252 


.13106 


7.630CS 


.14886 


6.71789 


.16674 


5.99720 


32 


29 


.09600 


10.4172 


.11364 


8.79964 


.13136 


7.61287 


.14915 


6.70450 


.16704 


5-98646 


31 


30 


.09629 


10.3854 


• 11394 


8.77689 


.13165 


7.59575 


.14945 


6.69116 


.16734 


5.97576 


30 


31 


.09658 


10.3538 


.11423 


8.75425 


.13195 


7.57872 


.14975 


6.67787 


.16764 


S-96510 


29 


32 


.09688 


10.3224 


.11452 


8.73172 


.13224 


7.56176 


.15005 


6.66463 


.16794 


5.95448 


28 


33 


.09717 


10.2913 


.11482 


8.70931 


.13254 


7-54487 


.15034 


6.65144 


.16824 


5-94390 


27 


34 


.09746 


10.2602 


.11511 


8.68701 


.13284 


7.52806 


.15064 


6.63831 


.16854 


5-93335 


26 


35 


.09776 


10.2294 


.11541 


8.66482 


.13313 


7.51132 


.15094 


6.62523 


.16884 


5.92283 


25 


36 


.09805 


10.1988 


.11570 


8.64275 


.13343 


7.49465 


.15124 


6.6121Q 


.16914 


5-91236 


24 


37 


.09834 


10.1683 


.11600 


8.62078 


.13372 


7.47806 


.15153 


6.59921 


.16944 


5.90191 


23 


38 


.09864 


10.1381 


.11629 


8.59893 


.13402 


7.46154 


.15183 


6.58627 


.16974 


5-89151 


22 


39 


.09893 


10.1080 


.11659 


8.57718 


.13432 


7.44509 


.15213 


6.57339 


.17004 


5.88114 


21 


40 


.09923 


10.0780 


.11688 


8.55555 


.13461 


7.42871 


.15243 


6.56055 


.17033 


5.87080 


20 


41 


.09952 


10.0483 


.11718 


8.53402 


.13491 


7.41240 


.15272 


6.54777 


.17063 


S.86051 


19 


42 


.09981 


10.0187 


.11747 


8.51259 


.13521 


7-39616 


.15302 


6.53503 


.17093 


S.85024 


18 


A3 


.10011 


9-98931 


.11777 


8.49128 


.13550 


7-37999 


.15332 


6.52234 


.17123 


5.84001 


17 


44 


.10040 


9.96007 


.11806 


8.47007 


.13580 


7.36389 


.15362 


6.50970 


.17153 


5.82982 


16 


45 


.10069 


9-93101 


.11836 


8.44896 


.13609 


7-34786 


.15391 


6.49710 


.17183 


5-81966 


15 


46 


.10099 


9.90211 


.11865 


8.4279s 


.13639 


7-33190 


.15421 


6.48456 


.17213 


5.80953 


14 


47 


.10128 


9-87338 


.11895 


8.40705 


.13669 


7.31600 


.15451 


6.47206 


.17243 


5-79944 


13 


48 


.10158 


9.84482 


.11924 


8.38625 


.13698 


7.30018 


.15481 


6.45961 


.17273 


5-78938 


12 


49 


.10187 


9.81641 


.11954 


8.36555 


.13728 


7.28442 


.15511 


6.44720 


.17303 


5-77936 


11 


50 


.10216 


9-78817 


.11983 


8.34496 


.13758 


7.26873 


.15540 


6.43484 


.17333 


5-76937 


10 


51 


.10246 


9.76009 


.12013 


8.32446 


.13787 


7-25310 


.15570 


6.42253 


.17363 


5.75941 


9 


52 


.10275 


9-73217 


.12042 


8.30406 


.13817 


7-23754 


.15600 


6.41026 


.17393 


5-74949 


8 


53 


.10305 


9.70441 


.12072 


8.28376 


.13846 


7.22204 


.15630 


6.39804 


.17423 


5-73960 


7 


54 


.10334 


9-67680 


.12101 


8.26355 


.13876 


7.20661 


.15660 


6.38587 


.17453 


5-72974 


6 


55 


.10363 


9-64935 


.12131 


8.24345 


.13906 


7-19125 


.15689 


6.37374 


.17483 


5-71992 


5 


56 


.10393 


9.62205 


.12160 


8.22344 


.13935 


7-17594 


.15719 


6.36165 


-17513 


5-71013 


4 


57 


.10422 


9.59490 


.12190 


8.20352 


.13965 


7.16071 


.15749 


6.34961 


.17543 


5-70037 


3 


58 


.10452 


9.56791 


.12219 


8.18370 


.13995 


7-I45S3 


.15-79 


6.33761 


•17573 


S.69064 


2 


59 


.10481 


9-54106 


.12249 


8.16398 


.14024 


7.13042 


.15809 


6.32566 


.17603 


5.68094 


I 


60 


.10510 


9-51436 


.12278 


8.14435 


.14054 


7-11537 


.15838 


6.31375 


.17633 


5.67128 





/ 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


/ 


8. 


1" 


83° 


82° 


81° 


80° 



BROWN & SHARPE MFG. CO. 



09 



NATURAL TANGENTS AND COTANGENTS 



1 


10° 


11° 


12° 


13° 


I 


4° 


/ 


Tang: 


Cotang- 


Tangr 


Cotang- 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 





.17633 


S.67128 


.19438 


5.I44S5 


.21256 


4.70463 


.23087 


4.33148 


.24933 


4.01078 


60 


I 


.17663 


5.6616s 


.19468 


5.13658 


.21286 


4.69791 


.23117 


4.32573 


.24964 


4.00582 


59 


2 


.17693 


5.65205 


.19498 


5.12862 


.21316 


4.69121 


.23148 


4.32001 


.24995 


4.00086 


58 


3 


.17723 


5.64248 


.19529 


5.12069 


.2\2A1 


4.68452 


.23179 


4.31430 


.25026 


3-99.592 


57 


4 


.17753 


5.63295 


.19559 


5.11279 


.21377 


4.67786 


.23209 


4.30860 


.25056 


3.99099 


^d 




.17783 


5-62344 


.19589 


5.10490 


.21408 


4.67121 


.23240 


4.30291 


.25087 


3.98607 


55 


6 


.17813 


S.61397 


.19619 


5.09704 


.21438 


4-66458 


.2Z2n 


4.29724 


.25118 


3.98117 


54 


7 


.17843 


S.60452 


.19649 


5.08921 


.21469 


4-65797 


.23301 


4.29159 


.25149 


3.97627 


53 


8 


.17373 


5.S95II 


.19680 


5.08139 


.21499 


4-65138 


.23332 


4.28595 


.25180 


3-97139 


52 


9 


.I7QC3 


5.58573 


.19710 


S.07360 


.21529 


4.64480 


•23363 


4.28032 


.25211 


3.96651 


SI 


10 


.17923 


S.57638 


.19740 


5.06534 


.21560 


4.6382s 


.23393 


4.27471 


.25242 


3.9616s 


50 


II 


.17963 


S.56706 


.19770 


5.05809 


.21590 


4.63171 


.23424 


4.26911 


.25273 


3.95680 


49 


12 


.17993 


5.55777 


.19801 


5.05037 


.21621 


4.62518 


.23455 


4-26352 


.25304 


3.95196 


48 


13 


.18023 


5.54851 


.19831 


5.04267 


.21651 


4.61868 


.23485 


4-25795 


.25335 


3.94713 


47 


14 


•'^°|3 


S.53927 


.19861 


5.03499 


.21682 


4.61219 


.23516 


4.25239 


.25366 


3-94232 


46 


15 


.18083 


5.53007 


.19891 


5.02734 


.21712 


4.60572 


.23547 


4.24685 


.25397 


3.93751 


45 


16 


.18113 


5.52090 


.19921 


5.01971 


.21743 


4.59927 


.23578 


4.24132 


.25428 


3.93271 


44 


17 


.18143 


5.51176 


.19952 


5.01210 


.21773 


4.59283 


.23608 


4.23580 


.25459 


3.92793 


43 


18 


.18173 


5.50264 


.19982 


5-00451 


.21804 


4.58641 


.23639 


4.23030 


.25490 


3.92316 


42 


19 


.18203 


5.49356 


.20012 


4-99695 


.21834 


4.58001 


.23670 


4.22481 


.25521 


3-91839 


41 


20 


.18233 


5.48451 


.20042 


4.98940 


.21864 


4.57363 


.23700 


4.21933 


.25552 


3.91364 


40 


21 


.18263 


S.47548 


.20073 


4.98188 


.2189s 


4.56726 


.23731 


4.21387 


.25583 


3.90890 


39 


22 


.18293 


S.46648 


.20103 


4.97438 


.21925 


4.56091 


.23762 


4.20842 


.25614 


3-90417 


38 


23 


.18323 


S-4S7SI 


.20133 


4.96690 


.21956 


4.55458 


.23-93 


4.20298 


.25645 


3.89945 


yi 


24 


.18353 


5.44857 


.20164 


4.95945 


.21986 


4.54826 


.23823 


4.19756 


.25676 


3.89474 


36 


25 


.18384 


5.43966 


.20194 


4.95201 


.22017 


4.54196 


.23854 


4.19215 


.25707 


3.89004 


35 


26 


.18414 


5.43077 


.20224 


4.94460 


.22047 


4.53568 


.23885 


4.1867s 


.25738 


3.88536 


34 


27 


.18444 


S.42192 


.20254 


4-93721 


.22078 


4.52941 


.23916 


4-18137 


.25769 


3.88068 


33 


28 


.18474 


5.41309 


.20285 


4.92984 


.22108 


4-52316 


.23946 


4- 17600 


.25800 


3.87601 


32 


29 


.18504 


5.40429 


.20315 


4-92249 


.22139 


4.51693 


.23977 


4.17064 


.25831 


3.871.1.6 


31 


30 


.18534 


5.39552 


.20345 


4-91516 


.22169 


4.51071 


.24008 


4.16530 


.25862 


3.86671 


30 


31 


.18564 


S.38677 


.20376 


4.9078s 


,22200 


4.50451 


.24039 


4.15997 


.25893 


3.86208 


29 


32 


.18594 


5.37805 


.20406 


4-90056 


.22231 


4.49832 


.24069 


4.15465 


.25924 


3.8574s 


28 


33 


.18624 


5.36936 


.20436 


4-89330 


.22261 


4-49215 


.24100 


4.14934 


.25955 


3.85284 


27 


34 


.18654 


5.36070 


.20466 


4.88605 


.22292 


4-48600 


.24131 


4.1440S 


.25986 


3.84824 


26 


35 


.18684 


5-35206 


.20497 


4.87882 


.22322 


4-47986 


.24162 


4.13877 


.26017 


3.84364 


25 


36 


.18714 


5.34345 


.20527 


4.87162 


.22353 


4-47374 


.24193 


4-13350 


.26048 


3.83906 


24 




.18745 


5-33487 


.20557 


4.86444 


.22383 


4-46764 


.24223 


4-12825 


.26079 


3.83449 


23 


38 


.18775 


5-32631 


.20588 


4-85727 


.22414 


4.46155 


.24254 


4-12301 


.26110 


3.82992 


22 


39 


.18805 


5-31778 


.20618 


4.85013 


.22444 


4.45548 


.24285 


4.11778 


.26141 


3.82537 


21 


40 


.18835 


5-30928 


.20648 


4.84300 


.22475 


4.44942 


.24316 


4.II256 


.26172 


3.82083 


20 


41 


.1886s 


5-30080 


.20679 


4.83590 


.22505 


4.44338 


.24347 


4.10736 


.26203 


3.81630 


19 


42 


.18895 


5-29235 


.20709 


4.82882 


.22536 


4-43735 


.2'^zn 


4.10216 


.26235 


3.81177 


18 


43 


.18925 


5.28393 


.20739 


4.8217s 


.22567 


4.43134 


.24408 


4-09699- 


.26266 


3.80726 


17 


44 


.18955 


5-27553 


.20770 


4.81471 


.22597 


4-42534 


.24439 


4.09182 


.26297 


3.80276 


16 


45 


.18986 


5.26715 


.20800 


4.80769 


.22628 


4.41936 


.24470 


4.08666 


.26328 


3.79827 


IS 


46 


.19016 


5-25880 


.20830 


4.80068 


.22658 


4.41340 


.24501 


4.08152 


.26359 


3-79378 


14 


47 


.19046 


5-25048 


.20861 


4.79370 


.22689 


4.40745 


.24532 


4.07639 


.26390 


3.78931 


13 


48 


.19076 


5.24218 


.20891 


4.78673 


.22719 


4.40152 


.24562 


4.07127 


.26421 


3.7848s 


12 


49 


.19106 


5.23391 


.20921 


4.77978 


.22750 


4-39560 


.24593 


4.06616 


.26452 


3.78040 


II 


50 


.19136 


5.22566 


.20952 


4.77286 


.22781 


4.38969 


.24624 


4.06107 


.26483 


3.77595 


10 


SI 


.19166 


5-21744 


.20982 


4.76595 


.22811 


4.38381 


.24655 


4-05599 


.2651S 


3.77152 


9 


52 


.19197 


5.20925 


.21013 


4.75906 


.22842 


4-37793 


.24686 


4.05092 


.26546 


3.76709 


8 


53 


.19227 


5.20107 


.21043 


4.75219 


.22872 


4.37207 


.24717 


4.04586 


.26577 


3.76268 


7 


54 


.19257 


5.19293 


.21073 


4.74534 


.22903 


4.36623 


.24747 


4.04081 


.26608 


3.75828 


6 


55 


.19287 


5.18480 


.21104 


4.73851 


.22934 


4.36040 


.24778 


4.03578 


.26639 


3.75.388 


s 


56 


.19317 


5.17671 


.21134 


4.73170 


.22964 


4.35459 


.24809 


4.03076 


.26670 


3.74950 


4 


57 


.19347 


5.16863 


.21164 


4.72490 


.22995 


4.34879 


.24840 


4.02574 


.26701 


3.74512 


3 


58 


.19378 


5.16058 


.21195 


4.71813 


.23026 


4.34300 


.24871 


4.02074 


.26733 


374075 


2 


59 


.19408 


5-15256 


.21225 


4.71137 


.23056 


4.33723 


.24902 


4.01576 


.26764 


3.73640 


I 


60 


.19438 


S-I4455 


.21256 


4.70463 


.23087 


4.33148 


■24933 


4.01078 


.26795 


3-73205 





/ 


Cotang: 


Tang 


Cotangr 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


f 


79° 


78° 


77° 


76= 


7. 


-0 

5 



no BROWN & SHARPE MFG. CO. 

NATURAL TANGENTS AND COTANGENTS 



1 


15° 


16° 


17° 


18° 


I 


5° 


/ 


Tang 


Cotang: 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotan*? 


Tang 


Cotang 





.26795 


3.7320s 


.28675 


3.48741 


.30573 


3.27085 


.32492 


3.07768 


.34433 


2.90421 


60 


I 


.26826 


3.72771 


.28706 


3.48359 


.30605 


3.26745 


.32524 


3-07464 


.34465 


2.90147 


59 


2 


.26857 


3.72338 


.28738 


3.47977 


.30637 


3.26406 


.32556 


3.07160 


.34498 


2.89873 


5& 


3 


.26888 


3.71907 




3.47596 


.30669 


3.26067 


.32588 


3.06857 


.34530 


2.89600 


57 


4 


.26920 


3.71476 


.28800 


3.47216 


.30700 


3-25729 


.32621 


3.06554 


.34563 


2.89327 


56 


S 


.26951 


3.71046 


.28832 


3.46837 


.30732 


3.25392 


.32653 


3.06252 


.34596 


2.8905s 


55 


6 


.26982 


3.70616 


.28864 


3.46458 


.30764 


3-25055 


.32685 


3-05950 


.34628 


2.88783 


54 


7 


.27013 


3.70188 


.28895 


3.46080 


.30796 


3-24719 


.32717 


3-05649 


.34661 


2.88511 


53 


8 


.27044 


3.69761 


.28927 


3.45703 


.30828 


3.24383 


.32749 


3-05349 


.34693 


2.88240 


52 


9 


.27076 


3.69335 


.28958 


3.45327 


.30860 


3-24049 


.32782 


3-05049 


.34726 


2.87970 


51 


10 


.27107 


3.68909 


.28990 


3.44951 


.30891 


3.23714 


.32814 


3.04749 


.34758 


2.87700 


so 


II 


.27138 


3.6848s 


.29021 


3.44576 


.30923 


3.23381 


.32846 


3.04450 


.34791 


2.87430 


49 


12 


.27169 


3.68061 


.29053 


3.44202 


.30955 


3.23048 


.32878 


3.04152 


.34824 


2.87161 


48 


13 


.27201 


3.67638 


.29084 


3.43829 


.30987 


3-22715 


.32911 


3.03854 


.34856 


2.86892 


47 


14 


.27232 


3.67217 


.29116 


3.43456 


.31019 


3-22384 


.32943 


3.03556 


.34889 


2.86624 


46 


IS 


.27263 


3.66796 


.29147 


3.43084 


.31051 


3-22053 


.32975 


3-03260 


.34922 


2.86356 


45 


i6 


.27294 


3.66376 


.29179 


3.42713 


.31083 


Z.2\122 


.33007 


3-02963 


.34954 


2.86089 


44 


17 


.27326 


3.65957 


.29210 


3.42343 


.31115 


3-21392 


.33040 


3.02667 


.34987 


2.85822 


43 


i8 


.27357 


3.65538 


.29242 


3-41073 


.31147 


3.21063 


.33072 


3-02372 


.35020 


2.85555 


42 


19 


.27388 


3.65121 


.29274 


3-41604 


.31178 


3-20734 


.33104 


3-02077 


.35052 


2.85289 


41 


20 


.27419 


3.64705 


.29305 


3.41236 


.31210 


3.20406 


.33136 


3.01783 


.35085 


2.85023 


40 


21 


.27451 


3.64289 


.29337 


3.40869 


.31242 


3.20079 


.33169 


3.01489 


.35118 


2.84758 


39 


22 


.27482 


3.63874 


.29368 


3.40502 


.31274 


3.19752 


.33201 


3.01196 


.35150 


2.84494 


38 


23 


.27513 


3.63461 


.29400 


3-40136 


.31306 


3.19426 


.33233 


3.00903 


.35183 


2.84229 


37 


24 


.27545 


3.63048 


.29432 


3-39771 


.31338 


3.19100 


.33266 


3.00611 


.35216 


2.8396s 


36 


25 


.27576 


3.62636 


.29463 


3.39406 


.3137P 


3-18775 


.33298 


3.00319 


.35248 


2.83702 


35 


26 


.27607 


3.62224 


.29495 


3.39042 


.31402 


3.18451 


.33330 


3.00028 


.35281 


2.83439 


34 


27 


.27638 


3.61814 


.29526 


3.38679 


.31434 


3.18127 


.33363 


2.99738 


.35314 


2.83176 


33 


28 


.27670 


3.6140S 


.29558 


3-38317 


.31466 


3.17804 


.33395 


2.99447 


.35346 


2.82914 


32 


29 


.27701 


3.60996 


.29590 


3.37955 


.31498 


3.17481 


.33427 


2.99158 


.35379 


2.82653 


31 


30 


.27732 


3.60588 


.29621 


3.37594 


.31530 


3.17159 


.33460 


2.98868 


.35412 


2.82391 


30 


31 


.27764 


3.60181 


.29653 


3.37234 


.31562 


3.16838 


.33492 


2.98580 


.35445 


2.82130 


29 


32 


.27795 


3-59775 


.29685 


3.36875 


.31594 


3.16517 


.33524 


2.J8292 


.35477 


2.81870 


28 


33 


.27826 


3-59370 


.29716 


3.36516 


.31626 


3.16197 


.33557 


2.98004 


.35510 


2.81610 


27 


34 


.27858 


3-58966 


.29748 


3-36158 


.31658 


3.15877 


.33589 


2.97717 


.35543 


2.81350 


26 


35 




3-58562 


.29780 


3.35800 


.31690 


3.15558 


.33621 


2.97430 


.35576 


2.81091 


25 


36 


.27921 


3.58160 


.29811 


3-35443 


.31722 


3-15240 


.33654 


2.97144 


.35608 


2.80833 


24 


37 


.27952 


3-57758 


.29843 


3-35087 


.31754 


3-14922 


.33686 


2.96853 


.35641 


2.80574 


23 


38 




3-57357 


.29875 


3-34732 


.31786 


3-I460S 


.33718 


2.96573 


.35674 


2.80316 


22 


39 


.28015 


3-56957 


.29906 


3-34377 


.31818 


3-14288 


•337SI 


2,96283 


.35707 


2.80059 


21 


40 


.28o/)6 


3.56557 


.29938 


3.3402^ 


.31850 


3.13972 


.33783 


2.96004 


.35740 


2.79802 


20 


41 


.28077 


3.56159 


.29970 


3.33670 


.31882 


3.13656 


.33816 


2.95721 


.35772 


2-79545 


19 


42 


.28109 


3.55761 


.30001 


3.33317 


.31914 


3.13341 


.33848 


2.95437 


.3580s 


2.79289 


18 


43 


.28140 


3-55364 


.30033 


3-32965 


.31946 


3.13027 


.33881 


2.9515s 


.35S38 


2.79033 


17 


44 


.28172 


3-54968 


.30065 


3.32614 


.31978 


3.12713 


.33913 


2.94872 


.35871 


2.78778 


16 


45 


.28203 


3-54573 


.30097 


3.32264 


.32010 


3.12400 


.33945 


2-94591 


.35904 


2.78523 


IS 


46 


.28234 


3-54179 


.30128 


3.31914 


.32042 


3.12087 


.33978 


2.94309 


.35937 


2.78269 


14 


47 


.28266 


3-53785 


.30160 


3-31565 


.32074 


3-11775 


.34010 


2.94028 


.35969 


2.78014 


13 


48 


.28297 


3-53393 


.30192 


3-31216 


.32106 


3.11464 


.34043 


2-93748 


.36002 


2.77761 


12 


49 


.28329 


3-53001 


.30224 


3.30868 


.32139 


3.11153 


.34075 


2.93468 


.36035 


2.77507 


II 


50 


.28360 


3.52609 


.30255 


3.30521 


.32171 


3.10842 


.34108 


2.93189 


.36068 


2.77254 


10 


51 


.28391 


3.52219 


.30287 


3.30174 


.32203 


3.10532 


.34140 


2.92910 


.36101 


2.77002 


9 


52 


.28423 


3.S1829 


.30319 


3.29829 


.32235 


3.10223 


.34173 


2.92632 


.36134 


2.76750 


8 


53 


.28454 


3.51441 


.30351 


3.29483 


.32267 


3-09914 


.34205 


2.92354 


.36167 


2.76498 


7 


54 


.28486 


3.51053 


.30382 


3.29139 


.32299 


3.09606 


.34238 


2.92076 


.36199 


2.76247 


6 


55 


.28517 


3-50666 


.30414 


3.28795 


.32331 


3-09298 


.34270 


2-91799 


.36232 


2.75996 


S 


56 


.28549 


3.50279 


.30446 


3-28452 


.32363 


3-08991 


.34303 


2-91523 


.36265 


2.75746 


4 


57 


.28580 


3.49894 


.30478 


3.28109 


.32396 


3-08685 


.34335 


2.91246 


.36298 


2.75496 


3 


58 


.28612 


3.49509 


.30509 


3.27767 


.32428 


3.08379 


.34368 


2.90971 


.36331 


2.75246 


2 


59 


.28643 


3-49125 


.30541 


3-27426 


.32460 


3.08073 


.34400 


2.90696 


.36364 


2.74997 


I 


6o 


.28675 


3.48741 


.30573 


3.2708s 


.32492 


3.07768 


.34433 


2.90421 


.36397 


2.74748 





/ 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tan- 


Cotang 


Tang 


Cotang 


Tang 


/ 


74° 


73° 


72° 


71° 


7< 


3° 



BROWN & SHARPE MFG. CO. 

NATURAL TANGENTS AND COTANGENTS 



III 



/ 


20° 


21° 


22° 


23° 


24° 


/ 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 





.36397 


2.74748 


.38386 


2.60509 


.40403 


2.47509 


.42447 


2.35585 


.44523 


2.24604 


60 


I 


.36430 


2.74499 


.38420 


2.60283 


.40436 


2.47302 


.42482 


2.35395 


.44558 


2.24428 


59 


2 


.36463 


2.74251 


•38453 


2.60057 


.40470 


2.47095 


.42516 


2.35205 


.44593 


2.24252 


58 


3 


.36496 


2.74004 


•38487 


2.59831 


.40504 


2.46888 


.42551 


2.35015 


.44627 


2.24077 


57 


4 


.36529 


2.73756 


.38520 


2.59606 


.40538 


2.46682 


.42585 


2.34825 


.44662 


2.23902 


56 


s 


.36562 


2.73509 


.38553 


2.59381 


.40572 


2.46476 


.42619 


2.34636 


.44697 


2.23727 


55 


6 


.36595 


2.73263 


.38587 


2.59156 


.40606 


2.46270 


.42654 


2.34447 


.44732 


2.23553 


54 


7 


.36628 


2.73017 


.38620 


2.58932 


.40640 


2.4606s 


.42688 


2.34258 


.44767 


2.23378 


53 


8 


.36661 


2.72771 


•38654 


2.58708 


.40674 


2.45860 


.42722 


2.34069 


.44802 


2.23204 


52 


9 


.36694 


2.72526 


.38687 


2.58484 


.40707 


2.45655 


.42757 


2.33881 


.44837 


2.23030 


51 


10 


.36727 


2.72281 


.38721 


2.58261 


.40741 


2.45451 


.42791 


2.33693 


.44872 


2.22857 


SO 


II 


.36760 


2.72036 


•38754 


2.58038 


•40775 


2.45246 


.42826 


2.33505 


.44907 


2.22683 


49 


12 


.36793 


2.71792 


.38787 


2.5781S 


.40809 


2.45043 


.42860 


2.33317 


.44942 


2.22510 


48 


13 


.36826 


2.71548 


.38821 


2.57593 


.40843 


2.44839 


.42894 


2.33130 


•44977 


2.22337 


47 


14 


.36859 


2.71305 


.38854 


2.57371 


•40877 


2.44636 


.42929 


2.32943 


.45012 


2.22164 


46 


IS 


.36892 


2.71062 


.38888 


2.57150 


.40911 


2.44433 


.42963 


2.32756 


•45047 


2.21992 


45 


i6 


.36925 


2.70819 


.38921 


2.56928 


.40945 


2.44230 


.42998 


2.32570 


.45082 


2.21819 


44 


17 


.36958 


2.70577 


.38955 


2.56707 


.40979 


2.44027 


.43032 


2.32383 


• 45117 


2.21647 


43 


i8 


.36991 


2.7033s 


.38988 


2.564S7 


.41013 


2.43825 


.43067 


2.32197 


•45152 


2.21475 


42 


19 


.37024 


2.70094 


.39022 


2.56266 


.41047 


2.43623 


.43101 


2.32012 


•45187 


2.21304 


41 


20 


.37057 


2.69853 


.39055 


2.56046 


.41081 


2.43422 


.43136 


2.31826 


.45222 


2.21132 


40 


21 


•37090 


2.69612 


.39089 


2.55827 


.4111S 


2.43220 


•43170 


2.31641 


.45257 


2.20961 


39 


22 


.37123 


2.69371 


.39122 


2.55608 


•41149 


2.43019 


.43205 


2.31456 


.45292 


2.20790 


38 


23 


.37157 


2.69131 


.39156 


2.55389 


.41183 


2.42819 


•43230 


2.31271 


•45327 


2.20619 


37 


24 


.37190 


2.68892 


.39190 


2.55170 


.41217 


2.42618 


•43274 


2.31086 


•45362 


2.20449 


36 


25 


.37223 


2.68653 


.39223 


2.54952 


.41251 


2.42418 


•43308 


2.30902 


•45397 


2.20278 


35 


26 


.37256 


2.68414 


.39257 


2.54734 


.41285 


2.42218 


.43343 


2.30718 


.45432 


2.20108 


34 


27 


.37289 


2.68175 


.39290 


2.54516 


.41319 


2.42019 


.43378 


2.30534 


.45467 


2.19938 


33 


28 


.37322 


2.67937 


.39324 


2.54299 


.41353 


2.41819 


•43412 


2.30351 


•45502 


2.19769 


32 


29 


.37355 


2.67700 


.39357 


2.54082 


.41387 


2.41620 


•43447 


2.30167 


•45538 


2.I9S99 


31 


30 


.37388 


2.67462 


.39391 


2.53865 


.41421 


2.41421 


•43481 


2.29984 


•45573 


2.19430 


30 


31 


.37422 


2.67225 


.39425 


2.53648 


.41455 


2.41223 


•43516 


2.29801 


.45608 


2.19261 


29 


32 


•37455 


2.66989 


.39458 


2.53432 


.41490 


2.41025 


•43550 


2.29619 


.45643 


2.19092 


28 


33 


.37488 


2.66752 


.39492 


2.53217 


.41524 


2.40827 


.43585 


2.29437 


.45678 


2.18923 


27 


34 


.37521 


2.66516 


•39526 


2.53001 


.41558 


2.40629 


.43620 


2.29254 


.45713 


2.18755 


26 


3S 


.37554 


2.66281 


•39559 


2.52786 


.41502 


2.40432 


•43654 


2.29073 


.45748 


2.18587 


25 


36 


.37588 


2.66046 


•39593 


2.52571 


.41626 


2.40235 


•43689 


2.2S891 


.45784 


2.18419 


24 


37 


.37621 


2.6581 1 


.39626 


2.52357 


.41660 


2.40038 


•43724 


2.28710 


.45819 


2.18251 


23 


38 


.37654 


2.65576 


.39660 


2.52142 


.41694 


2.39841 


.43758 


2.28528 


.45854 


2.18084 


22 


39 


.376S7 


2.65342 


.39694 


2.51929 


.41728 


2.39645 


.43793 


2.28348 


.45889 


2.17916 


21 


40 


.37720 


2.65109 


•39727 


2.5171S 


.41763 


2.39449 


.43828 


2.28167 


•45924 


2.17749 


20 


41 


.37754 


2.64875 


•39761 


2.51502 


.41797 


2.39253 


.43S62 


2.27987 


•45960 


2.17582 


19 


42 


.37787 


2.64642 


•39795 . 


2.51289 


.41831 


2.39058 


.40S97 


2.27806 


•45995 


2.17416 


18 


43 


.37820 


2.64410 


•39829 


2.51076 


.41865 


2.38863 


.43932 


2.27626 


.46030 


2.17249 


17 


44 


.37853 


2.64177 


•39862 


2.50864 


.41899 


2.33663 


.43966 


2.27447 


.46065 


2.17083 


16 


45 


.37887 


2.6394s 


•39896 


2.50652 


.41933 


2.38473 


.44001 


2.27267 


.46101 


2.16917 


15 


46 


.37920 


2.63714 


•39930 


2.50440 


.41968 


2.38279 


.44036 


2.27088 


.46136 


2.16751 


14 


47 


.37953 


2.63483 


•39963 


2.50229 


.42002 


2.38004 


.44071 


2.26909 


.46171 


2.16585 


13 


48 




2.63252 


.39997 


2.50018 


.42036 


2.37891 


.44105 


2.26730 


.46206 


2.16420 


12 


49 


.38020 


2.63021 


.40031 


2.49807 


.42070 


2.37697 


.44140 


2.26552 


.46242 


2.16255 


II 


SO 


.38053 


2.62791 


.40065 


2.49597 


.42105 


2.37504 


.44175 


2.26374 


.46277 


2.16090 


10 


SI 


.38086 


2.62561 


.40098 


2.49386 


.42139 


2.37311 


.44210 


2.26196 


.46312 


2.15925 


9 


52 


.38120 


2.62332 


.40132 


2.49177 


.42173 


2.37118 


.44244 


2.26018 


.46348 


2.15760 


8 


S3 


.38153 


2.62103 


.40166 


2.48967 


.42207 


2.36925 


.44279 


2.25840 


.46383 


2.15596 


7 


54 


.38186 


2.61874 


.40200 


2.48758 


.42242 


2.36733 


.44314 


2.25663 


.46418 


2.15432 


6 


55 


.38220 


2.61646 


.40234 


2.48549 


.42276 


2.36541 


.44349 


2.25486 


.46454 


2.15268 


S 


56 


.38253 


2.61418 


.40267 


2.48340 


.42310 


2.36349 


.44384 


2.25309 


.46489 


2.15104 


4 


57 


.38386 


2.61190 


.40301 


2.48132 


.42345 


2.36158 


.44418 


2.25132 


.46525 


2.14940 


3 


S8 


.38320 


2.60963 


.40335 


2.47924 


.42379 


2.35967 


.44453 


2.24956 


.46560 


2.14777 


2 


59 


.38353 


2.60736 


•40369 


2.47716 


.42413 


2.35776 


.44488 


2.24780 


.46595 


2.14614 


I 


6o 


.38386 


2.60509 


•40403 


2.47509 


.42447 


2.35585 


•44523 


2.24604 


.46631 


2.I44SI 





/ 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


/ 


6( 


)° 


6{ 


?° 


6; 


7° 


6( 


5° 


6 


5° 



112 



BROWN &. SHARPE MFG. CO. 



NATURAL TANGENTS AND COTANGENTS 



/ 


25° 


26° 


27° 


28° 


2 


3° 


/ 


Tang: 


Cotang: 


Tansr 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 





.46631 


2.14451 


.48773 


2.05030 


.50953 


1.96261 


.53171 


1.88073 


.55431 


1. 8040s 


60 


1 


.46666 


2.14288 


.48809 


2.04879 


.50989 


1.96120 


.53208 


1-87941 


.55469 


1.80281 


59 


2 


.46702 


2.1412s 


.48845 


2.04728 


.51026 


1.95979 


.53246 


1.87809 


.55507 


1.80158 


58 


3 


.46737 


2.13963 


.48881 


2.04577 


.51063 


1.95838 


.53283 


1-87677 


.55545 


1.80034 


57 


4 


.46772 


2.13801 


.48917 


2.04426 


.51099 


1.95698 


.53320 


1.87546 


.55583 


I.799H 


56 


S 


.46808 


2.13639 


.48953 


2.04276 


.51136 


1-95557 


.53358 


1.87415 


.55621 


1-79788 


55 


6 


.46843 


2.13477 


.48989 


2.04125 


.51173 


1. 954 1 7 


.53395 


1.87283 


.55659 


1.7966s 


54 


7 


.46879 


2.13316 


.49026 


2.03975 


.51209 


1.95277 


.53432 


1.87152 


.55697 


1.79542 


53 


8 


.46914 


2.13154 


.49062 


2.0382s 


.51246 


1.95137 


.53470 


1.87021 


.55736 


1.79419 


52 


9 


.46950 


2.12993 


.49098 


2.03675 


.51283 


1.94097 


.53507 


1. 86891 


.55774 


1.79296 


51 


10 


.46985 


2.12832 


.49134 


2.03526 


.51319 


1.94858 


.53545 


1.86760 


.55812 


1.79174 


50 


11 


.47021 


2.12671 


.49170 


2.03376 


.51356 


I.94718 


.53582 


1.86630 


.55850 


1.79051 


49 


12 


.47056 


2.12511 


.49206 


2.03227 


.51393 


1.94579 


.53620 


1.86499 


.55888 


1.78929 


48 


13 


.47092 


2.12350 


.49242 


2.03078 


.51430 


1.94440 


.53657 


1.86369 


.55926 


1.78807 


47 


14 


.47128 


2.12190 


.49278 


2.029:9 


.51467 


1.94301 


.53694 


1.86239 


.55964 


I.7S685 


46 


IS 


.47163 


2.12030 


.49315 


2.02780 


.51503 


1.94162 


.53732 


1.86109 


.56003 


1.78563 


45 


i6 


.47199 


2.11871 


.49351 


2.02631 


.51540 


1.94023 


.53769 


1-85979 


.56041 


1.78441 


44 


17 


.47234 


2.11711 


.49387 


2.02483 


.51577 


1.93885 


.53807 


1.85850 


.56079 


1.78319 


43 


i8 


.47270 


2.11552 


.49423 


2.0233s 


.51614 


1.93746 


.53844 


1.85720 


.56117 


1.78198 


42 


19 


.47305 


2.11392 


.49459 


2.02187 


•^^^^l 


1.93608 


.53882 


I -85591 


.56156 


1.78077 


41 


20 


.47341 


2. 1 1 233 


.49495 


2.02039 


.51688 


1.93470 


.53920 


1.85462 


.56194 


1.77955 


40 


21 


.47377 


2.1107s 


.49532 


2.01891 


.51724 


1-93332 


.53957 


1.85333 


.56232 


1.77834 


39 


22 


.47412 


2.10916 


.49568 


2.01743 


.51761 


I-93I9S 


.53995 


1.85204 


.56270 


1. 77713 


38 


23 


.47448 


2.10758 


.49604 


2.01596 


.51798 


1-93057 


.54032 


1.85075 


.56309 


1.77592 


37 


24 


.47483 


2.10600 


.49640 


2.01449 


.51835 


1.92920 


.54070 


1.84946 


.56347 


1.77471 


36 


2S 


.47519 


2.10443 


,49677 


2.01302 


.51872 


1.92782 


.54107 


1.84818 


.56385 


I. 77351 


35 


26 


.47555 


2.10284 


.45713 


2.011SS 


.51909 


1.92645 


.54145 


1.84689 


.56424 


1.77230 


34 


27 


.47590 


2.10126 


.49749 


2.01008 


.51946 


1.92508 


.54183 


1.84561 


.56462 


1.77110 


33 


28 


.47626 


2.09969 


.49786 


2.00862 


.51983 


1.92371 


.54220 


1.84433 


.56501 


1.76990 


32 


29 


.47663 


2.09811 


.49822 


2.00715 


.52020 


1.9223s 


.54258 


1.84305 


.56539 


1.76869 


31 


30 


.4769S 


2.09654 


.49858 


2.00569 


.52057 


1.92098 


.54296 


1.84177 


•56577 


1.76749 


30 


31 


.47733 


2.09498 


.49894 


2.00423 


.52094 


1.91962 


.54333 


1.84049 


.56616 


1.76629 


29 


32 


.47769 


2.09341 


.49931 


2.00277 


.52131 


1.91826 


.54371 


1.83922 


.56654 


1.76510 


28 


33 


.47805 


2.09184 


.49967 


2.00131 


.52168 


1.91690 


.54409 


1.83794 


.56693 


1.76390 


27 


34 


.47840 


2.09023 


.50004 


1.99986 


.52205 


1.91554 


.54446 


1.83667 


.56731 


1.76271 


26 


35 


.47876 


2.08873 


.50040 


1.99841 


.52242 


1.91418 


.54484 


1.83540 


.56769 


1.76151 


25 


36 


.47912 


2.08716 


.50076 


1.99695 


.52279 


1.91282 


.54522 


1.83413 


.56808 


1.76032 


24 


37 


.47948 


2.08560 


.50113 


1.99550 


.52316 


1-91147 


.54560 


1.83286 


.56846 


1.75913 


23 


38 


.47984 


2.0840s 


.50149 


1.99406 


.52353 


I.91012 


.54597 


1. 83 1 59 


.56885 


1.75794 


22 


39 


.48019 


2.08250 


.501SS 


1.99261 


.52390 


1.90876 


.54635 


1.83033 


.56923 


1.7567s 


21 


40 


.48055 


2.08094 


.50222 


1.99116 


.52427 


1.90741 


.54673 


1.82906 


.56962 


1.75556 


20 


41 


.48091 


2.07939 


.50258 


1.98972 


.52464 


1.90607 


.54711 


1.S27S0 


.57000 


1.75437 


19 


42 


.48127 


2.0778.; 


.50295 


1.98828 


.52501 


1.90472 


.54748 


1.82654 


.57039 


1.75319 


18 


43 


.48163 


2.07630 


.50331 


1.98684 


.52538 


1.90337 


..54786 


1.82528 


.57078 


1.75200 


17 


44 


.48198 


2.0747<J 


.50368 


1.98540 


.52575 


1.90203 


.54824 


1.82402 


.57116 


1.75082 


16 


45 


.48234 


2.07321 


.50404 


1.98396 


.5^613 


1.90069 


.54862 


1.82276 


.57155 


1.74964 


15 


46 


.48270 


2.07167 


.50441 


1.98253 


.52650 


1-89935 


.54900 


1.82150 


.57193 


1.74846 


14 


47 


.48306 


2.07014 


.50477 


1.98110 


.52687 


1.89801 


.54938 


1.82025 


.57232 


1-74728 


13 


48 


.48342 


2.06860 


.50514 


1.97966 


.52724 


1.89667 


.54975 


1.81899 


.57271 


1. 74610 


12 


49 


.48378 


2.06706 


.50550 


1.97823 


.52761 


1.89533 


.55013 


1.81774 


.57309 


1.74492 


11 


50 


.48414 


2.06553 


.50587 


1.97681 


.52798 


1.89400 


.55051 


1.81649 


.57348 


1-74375 


10 


51 


.48450 


2.06400 


.50623 


1.97538 


.52836 


1.89266 


.55089 


1.81524 


.57386 


1.74257 


9 


52 


.48486 


2.06247 


.50660 


1.97395 


.52873 


I.89133 


.55127 


1-81399 


.57425 


1.74140 


8 


53 


.48521 


2.06094 


.50696 


1.97253 


.52910 


1.89000 


.55165 


1.81274 


.57464 


1.74022 


7 


54 


.48557 


2.05942 


.50733 


1.97111 


.52947 


1.88867 


.55203 


1.81150 


.57503 


1-73905 


6 




.48593 


2.05790 


.50769 


1.96969 


.52985 


1.88734 


.55241 


1.81025 


.57541 


i^737£8 


5 


56 


.48629 


2.05637 


.50806 


1.96827 


.53022 


1.88602 


.55279 


1.80901 


.57580 


1.73671 


4 


57 


.48665 


2.05485 


.50843 


1.96685 


.53059 


1.88469 


.55317 


1.80777 


.57619 


1.73555 


3 


58 


.48701 


2.05333 


.50879 


1.96544 


.53096 


1-88337 


.55355 


1.80653 


.57657 


1.73438 


2 


S9 


.48737 


2.05182 


.50916 


1.96402 


•53134 


1.88205 


.55393 


1.80529 


.57696 


1-73321 


I 


60 


.48773 


2.05030 


.50953 


1. 9626 1 


.53171 


1.88073 


.55431 


1.80405 


.57735 


1.7320s 





/ 


Cotang 


Tangf 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


/ 


64° 


63° 


62 


J° 


6] 


° 


6( 


3° 



BROWN & SHARPE MFG. CO, II3 

NATURAL TANGENTS AND COTANGENTS 



/ 


30° 


35 


° 


3^ 


,0 


32 


!° 


34° 


/ 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 





.57735 


1.73205 


.60086 


1.66428 


,62487 


1,60033 


,64941 


I.S3986 


.67451 


1.48256 


eo 


I 


.57774 


1.73089 


.60126 


1.66318 


,62527 


1,59930 


,64982 


1.53888 


.67493 


1.48163 


59 


2 


.57813 


1.72973 


.60165 


1.66209 


,62568 


1.59826 


,65024 


1. 53791 


.67536 


1.48070 


S8 


3 


.57851 


1.72857 


.60205 


1,66099 


,62608 


1.59723 


.65065 


1.53693 


.67578 


1.47977 


57 


4 


.57890 


1.72741 


.60245 


1.65990 


,62649 


1,59620 


.65106 


1. 53595 


.67620 


1.47885 


56 


s 


.57929 


1.72625 


.60284 


1.65881 


,62689 


1.59517 


.65148 


1-53497 


.67663 


1.47792 


55 


6 


.57968 


1.72509 


.60324 


1.65772 


.62730 


1. 59414 


.65189 


1.53400 


.67705 


1.47699 


54 


7 


.58007 


^ '7 2393 


.60364 


1.65663 


,62770 


1.59311 


,65231 


1.53302 


.67748 


1,47607 


53 


8 


.58046 


1.72278 


.60403 


I.6SSS4 


,62811 


1,59208 


,65272 


1.53205 


.67790 


1-47514 


52 


9 


.58085 


1.72163 


.60443 


1.65445 


.62852 


I. 59105 


.65314 


1.53107 


.67832 


1,47422 


51 


10 


.58124 


1.72047 


.60483 


1.65337 


.62892 


1,59002 


.65355 


1.53010 


.67875 


1.47330 


so 


II 


.58162 


1.71932 


.60522 


1.65228 


.62933 


1,58900 


.65397 


1.52913 


.67917 


1.47238 


49 


12 


.58201 


1.71817 


.60562 


1.65120 


.62973 


1.58797 


.65438 


1.52816 


.67960 


1.47146 


48 


13 


.58240 


1.71702 


.60602 


1.65011 


.63014 


1.58695 


.65480 


1.52719 


.68002 


1.47053 


47 


14 


.58279 


1.71588 


.60642 


1.64903 


.63055 


1.58593 


,65521 


1,52622 


.68045 


1,46962 


46 


IS 


.58318 


1. 71473 


.60681 


1.64795 


.63095 


1,58490 


.65563 


1.5252s 


.68088 


1,46870 


45 


16 


.58357 


1.71358 


.60721 


1.64687 


.63136 


1,58388 


.65604 


1.52429 


.68130 


1,46778 


44 


17 


.58396 


1. 71244 


.60761 


1-64579 


.63177 


1,58286 


,65646 


1.52332 


.68173 


1,46686 


43 


18 


.58435 


1.71129 


.60801 


1.64471 


,63217 


1,58184 


,65688 


1.52235 


.68215 


1.46595 


42 


19 


.58474 


1.71015 


.60841 


1.64363 


,63258 


1,58083 


.65729 


1-52139 


.68258 


1,46503 


41 


20 


.58513 


1.70901 


.60881 


1.64256 


,63299 


1.57981 


.65771 


1.52043 


.68301 


1,46411 


40 


21 


.58552 


1.70787 


.60921 


I.64148 


.63340 


1,57879 


.65813 


1.51946 


.68343 


1,46320 


39 


22 


.58591 


1.70673 


.60960 


1. 6404 1 


,63380 


1.57778 


.65854 


1.51850 


,68386 


1.46229 


38 


23 


.58631 


1.70560 


.61000 


1.63934 


.63421 


1.57676 


,65896 


1.51754 


,68429 


1.46137 


37 


24 


.58670 


1.70446 


.61040 


1.63826 


.63462 


1.57575 


.65938 


1.51658 


.68471 


1,46046 


36 


25 


.58709 


1.70332 


.61080 


1.63719 


.63503 


1-57474 


.65980 


1.51562 


.68514 


1.45955 


35 


26 


.58748 


1.70219 


.61120 


1.63612 


,63544 


1.57372 


.66021 


I.51466 


.68557 


1,45864 


34 


27 


.58787 


1. 70106 


.61160 


1.63505 


.63584 


1. 57271 


,66063 


1-51370 


.68600 


1.45773 


33 


28 


.58826 


1.69992 


.61200 


1.63398 


.63625 


1.57170 


,66105 


I-51275 


.68642 


1,45682 


32 


29 


.58865 


1.69879 


.61240 


1.63292 


.63666 


1.57069 


,66147 


I-51179 


,68685 


1.45592 


31 


30 


.58905 


1.69766 


.61280 


1.63185 


.63707 


1.56969 


.66189 


1,51084 


.68728 


1.45501 


30 


31 


.58944 


1.69653 


.61320 


1.63079 


.63748 


1.56868 


.66230 


1,50988 


,68771 


1.45410 


29 


32 


.58983 


1.69541 


.61360 


1.62972 


.63789 


1,56767 


,66272 


1.50893 


.68814 


1.45320 


28 


33 


.59022 


1.69428 


.61400 


1.62866 


.63830 


1.56667 


,66314 


I-S0797 


.68857 


1,45229 


27 


34 


.59061 


1.69316 


.61440 


1.62760 


.63871 


1.56566 


,66356 


1.50702 


.68900 


1-45139 


26 


35 


.59101 


1 .69203 


.61480 


1.62654 


,63912 


I.564O6 


,66398 


1,50607 


,68942 


1,45049 


25 


36 


.59149 


1. 6909 1 


.61520 


1.62548 


.63953 


1.56366 


.66440 


1,50512 


.68985 


1.44958 


24 


37 


.59179 


1.68979 


.61561 


1.62442 


.63994 


1.5626s 


,66482 


I -504 1 7 


,69028 


1,44868 


23 


38 


.59218 


1.68866 


.61601 


1.62336 


.64035 


1.561C5 


,66524 


1.50322 


.69071 


1-44778 


22 


39 


.59258 


I. 68754 


.61641 


1.62230 


.64076 


1,5606s 


,66566 


1.50228 


,69114 


1.44688 


21 


40 


.59297 


1.68643 


.61681 


I. 62125 


.64117 


1,55966 


.66608 


1.50133 


.69157 


1-44598 


20 


41 


.59336 


1. 68531 


.61721 


1.62019 


,64158 


1.55866 


.66650 


1.50038 


,69200 


1,44508 


19 


42 


.59376 


1.68419 


.61761 


1,61914 


.64199 


1,55766 


,66692 


1-49944 


,69243 


1,44418 


18 


43 


.59415 


1.68308 


.61801 


1,61808 


,64240 


1.55666 


.66734 


1.49849 


,69286 


1,44329 


17 


44 


.59454 


I. 68 I 96 


.61842 


1.61703 


,64281 


1.55567 


,66776 


1.49755 


.69329 


1.44239 


16 


45 


.59494 


1.68085 


.61882 


1.61598 


.64322 


1.55467 


,66818 


1,49661 


.69372 


1.44149 


15 


46 


.59533 


1.67974 


.61922 


1,61493 


.64363 


1. 55368 


,66860 


1.49566 


.69416 


1.44060 


14 


47 


.59573 


1.67863 


.61962 


1,61388 


,64404 


1.55269 


,66902 


1.49472 


.69459 


1.43970 


13 


48 


.59612 


1.67752 


.62003 


1,61283 


.64446 


1-55170 


.66944 


1.49378 


.69502 


1,43881 


12 


49 


.59651 


1.67641 


.62043 


1,61179 


,64487 


1-55071 


,66986 


1,49284 


.69545 


1.43792 


11 


SO 


.59691 


1.67530 


.62083 


1,61074 


.64528 


1-54972 


,67028 


1,49190 


.69588 


1.43703 


10 


SI 


.59730 


1.67419 


.62124 


1,60970 


.64569 


1-54873 


.67071 


1.49097 


.69631 


1,43614 


9 


52 


.59770 


1.67309 


.62164 


1.60865 


,64610 


1-54774 


.67113 


1,49003 


.69675 


1.43525 


8 


53 


.59809 


1.67198 


.62204 


1.60761 


,64652 


1-54675 


.67155 


1.48909 


.69718 


1.43436 


7 


54 


.59849 


1.67088 


.62245 


1.60657 


.64693 


1-54576 


.67197 


1.48816 


,69761 


1.43347 


6 


55 


.59888 


1.66978 


.62285 


1.60553 


.64734 


1.54478 


.67239 


1.48722 


,69804 


1.43258 


S 


56 


.59928 


1.66867 


.62325 


1.60449 


,64775 


1.54379 


.67282 


1.48629 


.69847 


1,43169 


4 


57 


.59967 


1.66757 


.62366 


1.60345 


.64817 


1.54281 


.67324 


1 .48536 


,69891 


1,43080 


3 


58 


.60007 


1.66647 


.62406 


1.60241 


.64858 


1. 54183 


,67366 


1,48442 


.69934 


1.42992 


2 


59 


.60046 


1.66538 


.62446 


1.60137 


.64899 


1.54085 


.67409 


1.48349 


.69977 


1.42903 


I 


60 


.60086 


1.66428 


.62487 


1.60033 


.64941 


1,53986 


.67451 


1.48256 


,70021 


1.42815 








Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


1 


5< 


?° 


.55 


3° 


5 


7° 


s< 


S° 


5 


5° 



114 BROWN & SHARPE MFG. CO. 

NATURAL TANGENTS AND COTANGENTS 



1 


35° 


36° 


37° 


38° 


39° 


/ 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 





•70021 


1.42815 


.72654 


1.37638 


.75355 


1.32704 


.78129 


1-27994 


.80978 


1.23490 


60 


I 


.70064 


1.42726 


.72699 


I.37S54 


.75401 


1.32624 


.78175 


1^27917 


.81027 


1.23416 


59 


2 


.70107 


1.42638 


.72743 


1-37470 


.75447 


1.32544 


.78222 


1.27841 


.81075 


1.23343 


58 


3 


.70151 


1.42550 


.72788 


1.37386 


.75402 


1.32464 


.78269 


1^27764 


.81123 


1.23270 


57 


4 


.70194 


1.42462 


.72832 


1.37302 


.75538 


1.32384 


.78316 


1.27688 


.81171 


1.23196 


56 


5 


.70238 


1.42374 


.72877 


1.37218 




1.32304 


.78363 


1.27611 


.81220 


1.23123 


55 


6 


.70281 


1.42286 


.72921 


I.37134 


.75629 


1.32224 


.78410 


1^27535 


.81268 


1. 23050 


54 


7 


.70325 


1.42198 


.72966 


1.37050 


.75675 


1.32144 


.78457 


1.27458 


.81316 


1.22977 


53 


8 


.70368 


1.42110 


.73010 


1.36967 


.75721 


1.32064 


.78504 


1.27382 


.81364 


1.22904 


52 


9 


.70412 


1.42022 


.73055 


1.36883 


.75767 


1.31984 


.78551 


1.27306 


.81413 


1.22831 


51 


10 


.70455 


1.41934 


.73100 


1.36800 


.75812 


1.31904 


.78598 


1.27230 


.81461 


1.22758 


SO 


11 


.70499 


1.41847 


•73144 


1.36716 


.75858 


1.31825 


.78645 


1.27153 


.81510 


1.2268s 


49 


12 


.70542 


1.41759 


.73189 


1.36633 


.75904 


1.31745 


.78692 


1.27077 


.81558 


I. 22612 


48 


13 


.70586 


1.41672 


.73234 


1.36549 


.75950 


1.31666 


•78739 


1.27001 


.81606 


1.22539 


47 


14 


.70629 


1.41584 


•73278 


1.36466 


.75996 


1.31586 


.78786 


1.26925 


.81655 


1.22467 


46 


IS 


.70673 


1.41497 


.73323 


1.36383 


.76042 


1.31507 


.78834 


1.26849 


.81703 


1-22394 


45 


i6 


.70717 


1.41409 


.73368 


1.36300 


.76088 


1.31427 


.78881 


1.26774 


.81752 


1.22321 


44 


17 


.70760 


1.41322 


•73413 


1.36217 


.76134 


1.31348 


.78928 


1.26698 


.81800 


1.22249 


43 


i8 


.70804 


1.41235 


•73457 


1.36134 


.76180 


1.31269 


.78975 


1.26622 


.81849 


1.22176 


42 


19 


.70848 


1.41148 


.73502 


1.36051 


.76226 


1.31190 


.79022 


1.26546 


.81898 


I. 22104 


41 


20 


.70891 


1.41061 


.73547 


1.35968 


.76272 


1.31110 


.79070 


1.26471 


.81946 


1.22031 


40 


21 


.70935 


1.40974 


.73592 


1.3588s 


.76318 


1.31031 


.79117 


1.2639s 


.81995 


1.21959 


39 


22 


.70979 


1.40887 


.73(>27 


1.35802 


.76364 


1.30952 


.79164 


1.26319 


.82044 


1.21886 


38 


23 


.71023 


1.40800 


.73681 


1.35719 


.76410 


1.30873 


.79212 


1.26244 


.82092 


1.21814 


37 


24 


.71066 


1.40714 


.73726 


1.35637 


.76456 


1.30795 


-79259 


1.26169 


.82141 


1.21742 


36 


25 


.71110 


1.40627 


.73771 


1.35554 


.76502 


1.30716 


.79306 


1.26093 


.82190 


1.21670 


35 


26 


.71154 


1.40540 


.73816 


1.35472 


.76548 


1.30637 


.79354 


I. 26018 


.82238 


1-21598 


34 


27 


.71198 


1.40454 


.73861 


1.35389 


.76594 


1.30558 


.79401 


1.25943 


.82287 


1.21526 


33 


28 


.71242 


1.40367 


.73906 


1.35307 


.76640 


1.30480 


.79449 


1.25867 


.82336 


I. 21454 


32 


29 


.71285 


1.40281 


.73951 


1.35224 


.76686 


1.30401 


.79496 


1.25792 


.82385 


I.21382 


31 


30 


.71329 


1.40195 


.73996 


1.35142 


.76733 


1.30323 


.79544 


1.25717 


.82434 


1. 21310 


30 


31 


.71373 


1.40109 


.74041 


1.35060 


.76779 


1.30244 


.79591 


1.25642 


.82483 


1.21238 


29 


32 


.71417 


1.40022 


.74086 


1.34978 


.76825 


1.30166 


.79639 


1.25567 


.82531 


I.21166 


28 


33 


.71461 


1.39936 


.74131 


1.34896 


.76871 


1.30087 


.79686 


1.25492 


.82580 


1.21094 


27 


34 


.7150S 


1.39850 


•74176 


1.34814 


.76918 


1.30009 


.79734 


1.25417 


.82629 


1.21023 


26 


35 


.71549 


1.39764 


.74221 


1.34732 


.76964 


1.29931 


.79781 


1.25343 


.82678 


1-20951 


25 


36 


•71593 


1.39679 


.74267 


1.34650 


.77010 


1.29853 


.79829 


1.25268 


.82727 


1.20879 


24 


37 


.71637 


1.39593 


.74312 


1.34568 


.77057 


1.29775 


.79877 


1.25193 


.82776 


1.20808 


23 


38 


.71681 


1.39507 


.74357 


1.34487 


.77103 


1.29696 


.79924 


1.25118 


•M's 


1.20736 


22 


39 


.71725 


1.39421 


.74402 


1.3440s 


.77149 


1.29618 


• 79972 


1.25044 


.82874 


1.20665 


21 


40 


.71769 


1.39336 


.74447 


1.34323 


.77196 


1.29S4I 


.80020 


1.24969 


.82923 


1.20593 


20 


41 


.71813 


1.39250 


.74492 


1.34242 


.77242 


1.29463 


.80067 


1.2489s 


.82972 


1.20522 


19 


42 


.71857 


1.3916s 


.74538 


1.34160 


.77289 


1.29385 


.80115 


1.24820 


.83022 


1. 20451 


18 


43 


.71901 


1.39079 


.74583 


1-34079 


.7722s 


1-29307 


.80163 


1.24746 


.83071 


1.20379 


17 


44 


.71946 


1.38994 


.74628 


1.33998 


.77382 


1.29229 


.80211 


1.24672 


.83120 


1.20308 


16 


45 


.71990 


1.38909 


.74674 


1.33916 


.77428 


1.29152 


.80258 


1-24597 


.83169 


1.20237 


15 


46 


.72034 


1.38824 


.74719 


1.3383s 


•77475 


1.29074 


.80306 


1-24523 


.83218 


1.20166 


14 


47 


.72078 


1.38738 


.74764 


I -33754 


.77521 


1.28997 


•80354 


1.24449 


.83268 


1.20095 


13 


48 


.72122 


1.38653 


.74810 


1-33673 


-77S63 


1.28919 


.80402 


1.2437s 


.83317 


1.20024 


12 


49 


.72167 


1.38563 


.74855 


1-33592 


.7761S 


1.28842 


.80450 


1.24301 


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1-19953 


11 


SO 


.72211 


1.38484 


.74900 


1-33SII 


.77661 


1.28764 


.80498 


1.24227 


.83415 


1.19882 


10 


SI 


.72255 


1.38399 


.74946 


1.33430 


.77708 


1.28687 


.80546 


1.24153 


.83465 


1. 19811 


9 


S2 


.72299 


1.38314 


.74991 


1.33349 


.77754 


1.28610 


•80594 


1.24079 


.83514 


1. 1 9740 


8 


S3 


.72344 


1.38229 


.75037 


1.33268 


.77801 


1.28533 


.80642 


1.24005 


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1. 1 9669 


7 


54 


.72388 


1.38145 


.75082 


1.33187 


.77848 


1.28456 


.80690 


1. 23931 


.83613 


1.19599 


6 


SS 


.72432 


1.38060 


.75128 


I-33107 


.77895 


1.28379 


.80738 


1.23858 


.83662 


1.19528 


5 


56 


•72477 


1.37976 


.75173 


1-33026 


.77941 


1.28302 


.80786 


1.23784 


.83712 


I.194S7 


4 




•72521 


1.37891 


.75219 


1.32046 


.77988 


1.28225 


-80834 


1.23710 


.83761 


1. 19387 


3 


s8 


.72565 


1.37807 


• 75264 


1.32865 


.78035 


1.28148 


.80882 


1.23637 


.83811 


1.19316 


2 


59 


.72610 


1.37722 


.75310 


1.32785 


.78082 


1.28071 


.80930 


1.23563 


.83860 


1.19246 


I 


6o 


•72654 


1.37638 


.75355 


1.32704 


.78129 


1.27994 


.80978 


1.23490 


.83910 


1. 19175 





f 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tansr 


Cotang 


Tang 


Cotang 


Tang 


/ 


54° 


5: 


!° 


5: 


>o 


51° 


5( 


)° 



BROWN & SHARPE MFG. CO. 

NATURAL TANGENTS AND COTANGENTS 



/ 


40° 


41° 


42- 


43° 


44° 


/ 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


o 


.83910 


1.19175 


.86929 


1.15037 


.90040 


1.11061 


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1.07237 


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1.03553 


60 


I 


.83960 


1.19105 


.86980 


1.14969 


.90093 


1.10996 


.93306 


1.07174 


.9662s 


1.03493 


59 


2 


.84009 


1. 1 9035 


.87031 


1.14902 


.90146 


I. 10931 


.93360 


1.07112 


.96681 


1.03433 


58 


3 


.84059 


1. 1 8964 


.87082 


1.14834 


.90199 


1.10867 


•93415 


1.07049 


.96738 


1.03372 


57 


4 


.84108 


1. 1 8894 


.87133 


1.14767 


.90251 


1.10802 


•93469 


1.06987 


•96794 


1.03312 


56 


S 


.84158 


1. 18824 


.87184 


1.14699 


.90304 


1.10737 


•93524 


1.06925 


.96850 


1.03252 


55 


6 


.84208 


I. 18754 


.87236 


1.14632 


•90357 


1.10672 


.93578 


1.06862 


.96907 


1.03192 


54 


I 


.84258 


1. 18684 


.87287 


1.14565 


.90410 


1.10607 


•93633 


1.06800 


.96963 


1.03132 


53 


.84307 


1.18614 




1.14498 


.90463 


1.10543 


.93688 


1.06738 


.97020 


1.03072 


52 


9 


•84357 


1. 18544 


^87389 


1.14430 


.90516 


1.10478 


.93742 


1.06676 


.97076 


1.03012 


51 


10 


.84407 


1. 18474 


.87441 


I. 14363 


.90569 


1.10414 


.93797 


1.06613 


.97133 


1.02952 


SO 


u 


.84457 


I. 18404 


.87492 


1.14296 


.90621 


1.10349 


.93852 


1.06551 


.97189 


1.02892 


49 


12 


•84507 


1.18334 


.87543 


1.14229 


.90674 


1.10285 


.93906 


1.06489 


.97246 


1.02832 


48 


13 


•84556 


1.18264 


.87595 


I. 14162 


.90727 


1.10220 


.93961 


1.06427 


•97302 


1.02772 


47 


14 


.84606 


1. 18194 


.87646 


1.14095 


.90781 


1.10156 


.94016 


1.06365 


•97359 


1.02713 


46 


X5 


.84656 


1.1812s 


.87698 


1.14028 


.90834 


1.10091 


.94071 


1.06303 


.97416 


1.02653 


45 


i6 


.84706 


1.18055 


.87749 


I. 13961 


.90887 


1.10027 


.94125 


I. 0624 I 


.97472 


1.02593 


44 


% 


.84756 


1.17986 


.87801 


1.13894 


.90940 


1.09963 


.94180 


1.06179 


.97529 


1.02533 


43 


.84806 


1.17916 


.87852 


I. 13828 


•90993 


1.09899 


.94235 


1.06117 


.97586 


1.02474 


42 


19 


.84856 


1.17846 


.87904 


1. 13761 


.91046 


1.09834 


.94290 


1.06056 


.97643 


1.02414 


41 


20 


.84906 


1.17777 


.87955 


1.13694 


.91099 


1.09770 


.94345 


1.05994 


.97700 


1.023SS 


40 


21 


.84956 


I. I 7708 


.88007 


1.13627 


.91153 


1.09706 


.94400 


1.05932 


•97756 


1.02295 


39 


2a 


.85006 


1. 1 7638 


.88059 


1.13561 


.91206 


1.09642 


.94455 


1.05870 


•97813 


1.02236 


38 


33 


.85057 


1.17569 


.88110 


1.13494 


.91259 


1.09578 


.94510 


1.05809 


•97870 


1.02176 


37 


24 


.85107 


1.17500 


.88162 


1.13428 


.91313 


1.09514 


.94565 


1.05747 


•97927 


1.02117 


36 


2S 


.85157 


1.17430 


.88214 


1.13361 


.91366 


1.09450 


.94620 


1.0568s 


•97984 


1.02057 


35 


26 


.85207 


1.17361 


.88265 


1.1329s 


.91419 


1.09386 


.94676 


1.05624 


.98041 


1.01998 


34 


27 


.85257 


1.17292 


.88317 


1.13228 


.91473 


1.09322 


•94731 


1.05562 


.98098 


1.01939 


33 


28 


.85308 


1.17223 


.88369 


1.13162 


.91526 


1 .09258 


.94786 


1. 05501 


.98155 


1.01879 


32 


29 


.85358 


1.17154 


.88421 


1. 13096 


.91580 


1.09195 


.94841 


1.05439 


.98213 


1.01820 


31 


30 


.85408 


1.1708s 


.88473 


1.13029 


.91633 


1.09131 


.94896 


1.05378 


.98270 


1.01761 


30 


31 


.85458 


1.17016 


.88524 


1.12963 


.91687 


1.09067 


.94952 


1.05317 


.98327 


1.01702 


29 


32 


.85509 


1.16947 


.88576 


1.12897 


.91740 


1.09003 


.95007 


1.05255 


.98384 


1.01642 


28 


33 


.85559 


1. 16878 


.88628 


1.12831 


.91794 


1.08940 


.95062 


1.05194 


.98441 


1.01583 


27 


34 


.85609 


1. 16809 


.88680 


1.12765 


.91847 


1.08876 


.95118 


1.05133 


.98499 


1.01524 


26 


35 


.85660 


1.16741 


.88732 


1.12699 


.91901 


1.0S813 


.95173 


1.05072 


.98556 


1.01465 


25 


36 


.85710 


1. 16672 


.88784 


1.12633 


.91955 


1.08749 


.95229 


1.05010 


.98613 


1.01406 


24 




.85761 


1. 1 6603 


.88836 


1.12567 


.92008 


1.08686 


.95284 


1.04949 


.98671 


1.01347 


23 


38 


.85811 


I. 16535 


.88888 


1. 12501 


.92062 


1.08622 


.95340 


1.04888 


.98728 


1.01288 


22 


39 


.85862 


1.16466 


.88940 


1.12435 


.92116 


1.08559 


.95395 


1.04827 


.98786 


1. 01 229 


21 


40 


.85912 


1.16398 


.88992 


1.12369 


.92170 


1.08496 


.95451 


1.04766 


.98843 


1.01170 


20 


41 


.85963 


1.16329 


.89045 


1.12303 


.92224 


1.08432 


.95506 


I. 0470s 


.98901 


1.01112 


19 


42 


.86014 


1. 16261 


.89097 


1.12238 


.92277 


1.08369 


■95562 


1.04644 


.98958 


1.01053 


18 


43 


.86064 


1.16192 


.89149 


1.12172 


.92331 


1.08306 


.95618 


1.04583 


.99016 


1.00994 


17 


44 


.8611S 


1.16124 


.89201 


1. 12106 


.92385 


1.08243 


.95673 


1.04522 


.99073 


1.00935 


16 


45 


.86166 


1.16056 


.89253 


1.12041 


.92439 


1. 081 79 


.95729 


1.04461 


.99131 


1.00876 


15 


46 


.86216 


1.15987 


.89306 


1. 11975 


.92493 


1.08116 


.95785 


1.04401 


.99189 


1.00818 


14 


47 


.86267 


1.15919 


.89358 


1.11909 


.92547 


1.08053 


.95841 


1.04340 


.99247 


1.00759 


13 


48 


.86318 


1.15851 


.89410 


1.11844 


.92601 


1.07990 


.95897 


1.04279 


.99304 


1.00701 


12 


49 


.86368 


1.15783 


.89463 


1.11778 


.92655 


1.07927 


.95952 


1.04218 


.99362 


1.00642 


11 


SO 


.86419 


1.15715 


.895 1 5 


1.11713 


.92709 


1.07864 


.96008 


1.04158 


.99420 


1.00583 


10 


SI 


.86470 


1.15647 


.89567 


1.11648 


.92763 


1.07801 


.96064 


1.04097 


.99478 


1.0052s 


9 


52 


.86521 


1.15579 


.89620 


1.11582 


.92817 


1.07738 


.96120 


1.04036 


.99536 


1.00467 


8 


S3 


.86572 


1. 15511 


.89672 


1.11517 


.92872 


1.07676 


.96176 


1.03976 


.99594 


1.00408 


7 


54 


.86623 


1.15443 


.89725 


1.11452 


.92926 


1.07613 


.96232 


1.03915 


.99652 


i.octBSO 


6 


55 


.86674 


I.I537S 


.89777 


1.11387 


.92980 


1.07550 


.96288 


1.03855 


.99710 


1. 0029 1 


S 


56 


.86725 


1. 1 5308 


.89830 


1.11321 


.93034 


1.07487 


.96344 


1.03794 


.99768 


1.00233 


4 


57 


.86776 


1.15240 


.89883 


1.11256 


.93088 


1.07425 


.96400 


1.03734 


.99826 


1.00175 


3 


58 


.86827 


1.15172 


.89935 


1.11191 


.93143 


1.07362 


.96457 


1.03674 


.99884 


1.00116 


2 


59 


.86878 


1.15104 


.89988 


1 . 1 1 1 26 


.93197 


1.07299 


.96513 


1.03613 


.99942 


1.00058 


I 


60 


.86929 


1. 1 5037 


.90040 


i.iio6i 


•93252 


1.07237 


.96569 


1.03553 


1 .00000 


1.00000 





/ 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


/ 


4< 


3° 


4^ 


^° 


4: 


7° 


4( 


3° 


45° 



Table of Angles for 
Gashing Worm Wheels 



ii8 



BROWN & SHARPE MFG. CO. 



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119 



M 


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•sy3i3iMvia HOiid 



BROWN & SHARPE MFG. CO. 12 1 



TABLES OF PRIME NUMBERS AND FACTORS. 

In making use of these tables, the following explanation 
may be of assistance : the two columns at the left give the 
last two figures of the number to be factored; the first 
column gives all numbers to 50 and the second column from 
50 to 100. 

Example i. — Required, the factors of 138. Refer to 
the column of numbers from 100 to 150 and follow down 
the column until opposite 38 in the left-hand column; the 
factors are found to be 2 X 3 X 23.- 

Example 2. — Required, the factors for 1672. Refer to 
the column of numbers from 1650 to 1700 and follow down 
the column until opposite 72 in the second column at the 
left ; the factors are found to be 2^ X 1 1 X 19 or, more con- 
veniently stated for factoring, 2X2X2X11X19. 



122 BROWN & SHARPE MFG. CO. 

PRIME NUMBERS AND FACTORS 1-10200. 



From 
To 



o 

I 

2, 

3 
4 
5 
6 

7 
8 

9 

lO 

II 

12 
13 
14 
15 
i6 

17 
i8 

19 

20 

21 

22 
23 

24 
25 
26 

27 

28 

29 

30 

31 
32 

33 
34 
35 
36 
37 
38 
39 
40 

41 
42 
43 
44 
45 
46 

47 
48 

49 
50 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 

72 
73 
74 
75 
76 

77 
78 
79 
80 

81 
82 
83 
84 
85 
86 

87 
88 
89 
90 

91 
92 
93 
94 
95 
96 

97 

98 

99 

100 



o 
50 



2-3 



2-5 



2^.3 



2.7 

3-5 
2" 



2.3^ 



2'-^.5 
3-7 

2-II 



2^-3 

2.13 

2^.7 



2-3-5 



2^ 

3-II 

2.17 

5-7 



2'-5 



2-3-7 



2-^.11 

2.23 



2*-3 



2-5^ 



50 

100 



2-5-= 
3-17 
2-^.13 



5-II 

2^.7 

3-19 
2-29 



2.31 
3-^-7 

2« 

5-13 
2-3.II 



22.17 
3-23 

2-5-7 



2-37 
3-5^ 

2^.19 

7. II 
2-3-13 



2^-5 

3* 

2.41 



5-17 
2-43 
3-29 

23-11 



2-3^-5 
7-13 

2-^-23 
3-31 

2.-47 
5-19 
2^-3 



32.11 

22.C52 



100 
150 



2.3.17 



3-5-7 
2-53 



.5.11 



3-37 

2^-7 



2.3.19 

2^.29 

3^-13 
2-59 

7.17 



II 



2.61 

3-41 
2J.31 

2-3^-7 



2^ 

3-43 

2-5-13 



2^.3.11 
7.19 
2.67 
3^-5 

23-17 



2-3-23 



2^-5-7 

3-47 

2.71 

II. 13 

2''-3' 

5-29 

2-73 

^f 
22.37 



2-3-5' 



150 
200 



2-3-5^ 



5-31 



•3-13 



2-79 

3-53 

25.5 

7-23 
2-3^ 



3-5-II 
2.83 



2^-3-7 
13^ 

2-5-17 



:'-43 



2-3-29 

5^-7 

2'*. II 

3-59 

2-89 



2-7-13 
3.61 

2^-23 
5-37 
2-3-31 
11.17 



2.5.19 



26.3 



2-97 
3-5-13 

2'-'. 7^ 



2 ■'•5^ 



200 
250 



2J.5Z 
3-67 

2.IOI 

7-29 

22.3.17 

5-41 
2.103 

3'-23 

24.13 

II. 19 

2-3-5-7 



2^-53 

3-71 

2.107 

5-43 

2 3 . T 3 

7-31 
2.109 

3-73 

22.5. II 

13-17 
2-3-37 



2>.7 

3^-5^ 
2-113 



2^.3.19 

2-5-23 

3.7.11 
2^.29 



2-3'-i3 
5-47 
2 '-59 
3-79 
2.7.17 

2^-3-5 



2.1X2 

3^ 
22.61 

5-7^ 
2.3.41 

13-19 
2^.31 

3-83 
2-5^ 



250 
300 



2-5' 



22.32.7 

11.23 

2.127 

3-5-17 

28 



2-3-43 

7-37 

2--5-I3 

3^-29 
2-131 

2^.3.11 

5-53 
2.7.19 

3-89 
22.67 

2-3''5 



2'*-I7 

3-7-13 
2-137 

52.H 

22-3-23 



2-139 

3'-3i 

23.5.7 



2-3-47 



22.71 

3-5-19 
2. 11-13 
7.41 
2^.32 

172 
2-5.29 

3-97 

2'-73 

2.3.72 

5-59 
23.37 

33.11 

2-149 

13-23 

2^-3-S^ 



BROWN & SHARPE MFG. CO. 



123 



From 
To 



o 

I 
2 
3 
4 
5 
6 

7 
8 

9 
10 

II 
13 
13 
14 
15 
16 

17 
18 

19 
20 

21 
22 
23 
24 
25 
26 

27 
28 

29 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

41 
42 
43 
44 
45 
46 

47 
48 
49 
30_ 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 

72 

73 
74 
75 
76 

77 
78 
79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

qi 
92 
93 
94 
95 
96 
97 
98 
99 
100 



300 
350 



22.3.52 

7-43 

2-151 

3-IOI 

2^-19 

5.61 

2.32.17 



3-103 
2-5-3I 



2"^-3-i3 

2-157 
3'-5-7 
22.79 



2-3-53 
11-29 

26.5 

3-107 
2-7.23 
17-19 
22.34 

2-163 
3-109 
23.41 

7-47 
2-3-5-I 



22.83 

3 '-37 
2-167 

5-67 

2^-3-7 



2.132 

3-113 

22.5.17 

11.31 
2.32.19 

23-43 
2-173 



2^.3.29 



350 
400 



2-5'-7 
3'-i3 

25.11 



2-3-59 
5-71 
2 2. 89 

3-7-17 
2.179 



2'-3'-5 

192 
2.1S1 
3.112 
22.7.13 

5-73 
2.3-61 



2'*-23 

3^-41 

2-5-37 

7-53 
22.3.31 



2-11-17 

3-5' 
2^-47 

13-29 

2.33.7 



22.5.19 

3-127 
2-191 



2^-3 

5-7-11 

2.193 

3'-43 

22.97 



2-3-5-I3 

17-23 

2^.72 

3-131 
2.197 

5-79 
22.32.11 



2.199 

3-7-19 

24.52 



400 
450 



2*-5^ 



2.3.67 

U-3^ 
22.101 

3^-5 
2-7.29 

11-37 
23.3.17 



2.5.41 

3-137 
22-103 

7-59 
2-32.23 

5-83 
25.13 

3-139 
19 



2.II- 



•3-5-7 



2-211 

3^-47 

2'-53 

5'-i7 

2-3-71 

7-61 

22.107 

3-11-13 

2-5-43 



24.3c 



2-7.31 

3-5-29 
22.109 

19-23 
2-3-73 



2-5. II 

3^-7' 
2. 13.17 

2^-3-37 

5-S9 

2.223 

3-149 

2 '' .7 



450 
500 



2-3^-5^ 

11.41 

22.113 

3-151 

2-227 

5-7-13 
23.3-19 

2-229 
3'-i7 
2^-5-23 



2.3.7.11 

2-*. 29 
3-5-31 
2-233 

22.32".i3 

7.67 
2-5-47 

3-157 
23.59 

11-43 

2-3-79 

5'-i9 

22.7.17 

3'-53 
2-239 

2^-3-5 

13-37 
2-241 

3-7-23 
22.112 

5-97 
2.35 

23.61 
3- ^^3 

2-5-7' 



22.3.41 

17.29 

2-13.19 

3'-5-" 
24.31 

7-71 
2-3-S3 



22.5: 



500 
550 



22.53 
3-167 

2.251 



23.32.7 

5.101 

2.11-23 

3-13' 
22.127 

2-3-5-17 
7-73 

29 
33.19 

2-257 
5-103 

2'-3-43 
11.47 

2-7-37 
3-173 
2^-5-13 



2.32.29 

22.131 

3-5'-7 
2-263 

17-31 
2^.3.11 

23' 
2-5-53 

3^-59 
22.7.19 

13-41 

2-3-89 

5-107 

23.67 

3-179 
2-269 
72.11 



2.271 
3.181 
25.17 
5-109 
2-3-7-13 

2^-i'37'" 

32.61 

2-52.11 



550 
600 



2-52. II 
19.29 

2'-3-23 
7-79 

2-277 

3-5-37 
22.139 

2-32.31 

13-43 

2^-5-7 

3.11-17 

2-281 

2^-3-47 ' 

5-113 

2.283 

3^-7 

23.71 

2-3-5-19 



22.11-13 

3-191 
2-7.41 

5^-23 
26.32 



2.172 

3-193 

22.5-29 

7-83 

2-3-97 

11-53 
23.73 

3'-5-i3 
2.293 

22.3.72 

19-31 
2-5-59 

3-197 
24.37 

2.33.11 

5-7-17 
22.149 

3-199 
2-13-23 



■2151. 



124 



BROWN & SHARPE MFG. CO. 



From 
To 



o 

I 

2 

3 
4 
5 
6 

7 
8 

9 

lO 

II 
la 
13 
14 
15 
i6 

17 
i8 

19 
ao 

21 
22 
23 
24 
25 
26 

27 
28 

29 

30 

31 
32 

33 
34 
35 
36 
37 
38 
39 
40 

41 
42 
43 
44 
45 
46 

47 
48 

49 

1.50. 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 
72 
73 
74 
75 
76 
77 
78 
79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 
97 
98 
99 
100 



600 
650 



23.3.52 

2-7-43 
32.67 
22.151 

2'3'IOI 

25.19 

3-7-29 
2-5.61 

13-47 
22.32.17 

2.307 
3-5-41 

2^.7.11 

2.3.103 

2'-5-3i 



2-311 

7-89 

2^-3-13 

5* 

2-313 

3-11.19 

22.157 

17-37 

2-3'-5-7 



2^.79 

3-211 

2-317 

5-127 

2'-3-53 

7^-13 

2-11.29 

3^-71 

2'-5 

2.3.107 

22.7-23 

3-5-43 
2. 17-19 

2^:34 •• 

11-59 

2- 5'-i3 



650 
700 



2-5'-i3 

3-7-31 

22.163 

2-3.109 

2-^.4i 

3'-73 
2-7-47 



22. 3.5. II 



2-331 
3-13-17 

23.83 



^-37 
29 



5-7-19 
2-3 

22.167 

3-223 
2-5-67 

11-61 

25.3.7 



2-337 

3^-5' 
22.132 



2-3-113 
7-97 

23.5.17 

3-227 
2-11-31 



22.32.19 

5-137 
2-73 

3-229 

2^-43 

13-53 

2-3-5-23 



22.173 
32. 7. II 
2-347 
5-139 
23.3.29 

17-41 
2-349 
3-233 

22^.7 



700 
750 



22.52.7 



2.33.13 
19-37 

2^.11 

3-5-47 
2-353 
7-101 

2' -3-59 



2-5-7: 



23.89 
23-31 
2-3-7-17 

5-11-13 

22.179 

3-239 
2-359 



2^-3^-5 

7-103 
2-192 

3-241 
22.181 

5^-29 
2-3-112 



23.7.13 

3' 

2-5-73 

17-43 
22.3.61 



2-367 

3-5-7^ 
25.23 

11-67 
2-32.4] 



2--5-37 

3-13-19 
2-7-53 

23.3.31 

5-149 

2-373 

3^-83 
22. II. 17 

7-107 

2-3-5^ 



750 
800 



2^-47 
3-251 
2-13.29 

5-151 
22.33.7 

2-379 

3-11-23 
23.5.19 



2-3.127 

7.109 

22.191 

3^-5-17 

2-383 

13-59 

2''3 



2-5-7-11 

3-257 
22.193 

2-3'-43 

5'-3i 
23.97 

3-7-37 
2.389 

19-41 
2^-3-5-13 

11-71 

2-17.23 

33.29 

2^-72 
5-157 
2-3-131 

22.197 
3-263 

2-5-79 

7-113 
23.32.11 

13-61 

2-397 

3-5-53 
22.199 

2-3.7-19 

17-47 
25.52 



800 
850 



25. 5Z 

3^-89 

2-401 

11-73 
22.3-67 

5-7-23 

2-13-31 

3.269 

23. 101 



■3''5 



22.7.29 

3-271 
2-11-37 

5-163 
2-1.3-17 

19-43 
2-409 

3'-7-i3 

22.5-41 



2-3-I37 

23.103 
3-5'-ii 

2-7-59 



22.32.23 
2-5-83 " 

3-277 
26.13 

72.17 

2-3-139 

5-167 

22.11.19 

3'-3i 
2-419 

2'-3-5-7 

292 
2-421 
3-281 
22.211 

5-13' 
2-3'-47 

7-ll2 

2^-53 
3-283 

2-52.17 



850 
900 



2.52.17 

23-37 
22.3.71 

2.7.61 

3'-5-i9 
23.107 

2-3-11-13 



2'-5-43 

3-7-41 
2-431 

25.33 

5-173 
2-433 
3-17^ 
22.7.31 

11-79 
2-3-5-29 

13-67 
23.109 

3'-97 
2-19-23 

5'-7 
22.3-73 



2-439 
3-293 
2^.5-1 



22.13.17 

3-5-59 

2-443 

23.3.37 

7.127 

2.5-89 

34.11 
22.223 

19-47 
2.3.149 

5-179 

2". 7 

3-13-23 

2-449 

29-31 



BROWN & SHARPE MFG. CO. 



125 



From 
To 



o 

I 

2 
3 
4 
5 
6 

7 
8 

9 
zo 

II 

12 

13 
14 
15 
i6 

17 
i8 

19 
20 

21 
22 
«3 
24 
25 
26 
27 
28 
29 
30 

31 
33 
33 
34 
35 
36 
37 
38 
39 
40 

41 
42 
43 
44 
45 
46 
47 
48 
49 
30_ 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 

67 
68 

69 
70 

71 
72 
73 
74 
75 
76 
77 
78 
79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 

97 

98 

99 

100 



900 
950 



17-53 

2-II-4I 

3-7-43 

2^'II3 

5.I8I 

2-3-I5I 

22.227 
32.101 
2-5-7-I3 



2*-3-i9 

11.83 

2-457 
3-5-61 
22.229 

7-131 
2.3^.17 

23.5.23 

3-307 
2-461 

13-71 
2^.3.7.11 

5^-37 
2.463 
32.103 
2^.29 

2-3-5-31 

72.19 
22.233 

3-311 
2.467 
5. II. 17 
2:5.32.13 

2.7.67 
3-313 

2''-5-47 



2-3-157 

23-41 

21.59 

3''-5-7 
2. 1 1.43 

22.3.79 

13-73 
19 



2.52. 



950 
1000 



2.52.19 

3-317 

2^.7.17 

2-3'-53 

5-191 

22.239 

3.11.29 

2-479 
7-137 
2^-3-5 

31^ 

2-13-37 
32.107 
22.241 

5-193 
2.3.7.23 

23.1X2 
3-17-19 

2-5-97 



22.35 

7-139 

2.487 

3-5'-i3 
2^.61 

2.3.163 
11.89 

22.5.72 

32.109 
2.491 



23.3.41 

5-197 
2.17.29 

3-7-47 

2--13-19 

23-43 
2. 32. 5. II 



2'-3i 
3-331 
2-7-71 
5-199 
2^-3-83 

2-499 
3'-37 



1000 
1050 



23.^3 

7-11-13 
2-3-167 
17-59 

22.251 

3-5-67 
2-503 

19-53 

24.32.7 

2.5. lOI 

3-337 

22.11-23 



2.3.13- 

5-7-29 
23.127 

3'-ii3 
2.509 



22.3.5.17 



2-7-73 

3-11-31 

210 

5^-41 
2.33.19 

13-79 

22.257 

3-7' 
2-5-103 



2^-3-43 



2. 11-47 
3'-5-23 
2--7-37 
17.61 

2-3-173 

2'*-5-i3 

3-347 
2-521 

7-149 
22.32.29 

5-11-19 

2-523 
3-349 

2:'.I3I 

2 -3-5 '-7 



1050 
IIOO 



2-3-5--7 

2^^263" 

3'-i3 
2. 17.31 
5. 211 
2 =.3. II 

7-151 

2.232 

3-353 

2'-5-53 



•3 --59 



23.7.19 

3-5-71 
2. 13-41 
11-97 
22.3.89 



2-5-107 

3^-7-17 
2^-67 

29-37 
2.3.179 

5^-43 
22.269 

3-359 
2. 72. II 

13-83 
2 '-3'' -5 

23-47 
2-541 
3-19' 

22.271 

5-7-31 
2.3.181 

2*^.17 
32.112 

2.5.109 



2-3-7-13 

2-547 
3-5-73 
2''-i37 

2.32.61 

7-157 
22.52.11 



IIOO 
II50 



22.52.11 

3-367 
2-19.29 



24.3.23 
5-13-17 
2-7-79 
3'-4i 

22.277 

2-3-5-37 

II'IOI 

23.139 

3-7-53 
2-557 
5-223 
2--3'-3i 

2-13-43 
3-373 

2-^-5-7 

19-59 
2.3.11.17 

22.281 

3'-5' 

2-563 

7'-23 

2^-3-47 

2-5-113 

3-13-29 

22.283 

11-103 
2-3'-7 
5-227 
2^.71 

3-379 
2-569 
17-67 
22.3.5.19 

7-163 
2-571 
32.127 

23.1 1.13 

5-229 
2-3-191 
31-37 
22.7.41 

3-3S3 

2-5--23 



II5O 
1200 



2-5--23 
2'-3' 



2-577 

3-5-7-1I 

22.172 

13-89 

2-3-193 

19.61 

23.5.29 



43 

-83 



22.3.97 

5-233 

2-11-53 

3-389 

2^-73 

7.167 

2-3'-5-i3 



3-17-23 

2-587 

5-47 
23.3.72 

11-107 

2-19-31 

3^-131 

2-5-59 



2-3-197 
7-13^ 
2 '^'-37 
3-5-79 
2-593 

22.33.11 

29.41 

2.5.7.17 

3-397 
2'-H9 

2.3.199 

5-239 

2-13-23 

3'-7-i9 

2-599 

1 1-109 

2^-3-5' 



126 



BROWN & SHARPE MFG. CO. 



From 
To 



o 

I 

2 
3 
4 
5 
6 

7 
8 

9 
lo 

II 
13 
13 
14 
15 
i6 
17 
i8 

19 
20 

21 
22 
23 
24 
25 
26 

27 

28 
29 

30 

31 
32 

33 
34 
35 
36 
37 
38 
39 
40 

41 
42 
43 
44 
45 
46 
47 
48 
49 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 

67 
68 

69 
70 

71 

72 
73 
74 
75 
76 
77 
78 
79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 
97 
98 
99 



1200 
1250 



2-^-3-5' 



601 
401 

= •7-43 
241 

7.71 
'.151 

^3.101 



607 

'•5 
'.19 



3-7-29 
3-53 
.5.61 

11-37 
13-47 



i.32.,7 

613 
409 

■•307 



2>'S'^^ 



•7-II 
'•137 
617 

13-19 
••3-103 



619 
7-59 



50 100 



17-73 
2.3^.23 
II. 113 

22.31 1 

3-5-^3 
2.7.89 

29-43 
2 ■^.3. 13 

2-5^"" 



1250 
1300 



2-5* 

3'-i39 

22-313 

7.179 

2.3.11.19 

5-251 
23.157 

3-419 
2-17-37 



2-^-3'-5-7 

13-97 
2.631 

3-421 
2^-79 
5-11-23 
2.3-21 1 
7. 181 
2'^-3i7 
3^-47 
2.5.127 

31-41 
2 '-3-53 
19.67 
2.72.13 

3-5'-i7 
22.11.29 



2.3^.71 

2«.5 



3.7.61 
2.641 



22.3.107 

5-257 
2.643 
32. II. 13 

2^-7-23 
2-3-5-43 



22.17.19 

3-431 
2.647 

5-7-37 
,4.34 

2. 11.59 

3-433 

2^-5^-13 



1300 
1350 



2-3-7-31 

2 3. '163" 

3'-5-29 

2-653 

22.3.109 
7. II. 17 
2-5-131 

3-19-23 
2 ■^.4 1 

13-101 

2-3'-73 

5-263 

22.7.47 

3-439 
2.659 



•5-11 



2.661 

33.72 

2'-33i 



2-3-13-17 

2^-83 
3-443 



31-43 

2-23-29 

3-5-S9 

23.167 

7.191 

2.3.223 

13-103 

22.5.67 

3'-i49 
2.11.61 

17-79 

2^.3.7 

5.269 

2-673 

3-449 

2-'-337 

19.71 

i:3!i5l 



1350 

1400 



2-3'-5^ 

7-193 
23.132 

3-11-41 

2.677 

5-271 
22.3.113 

23-59 

2-7-97 
3^-151 
2'-5-i7 



2.3.227 

29.47 

22.11.31 

3-5-7-13 
2.683 

2^-3^-19 

37' 
2-5-137 

3-457 

22.73 



2.3.229 

53.11 

25.43 

3^-17 

2-13-53 

7.197 

2'-3-5-23 



2.691 
3.461 

23.173 

5-277 
2.32.7.11 

19-73 
22-347 
3-463 
2-5-139 

13.107 

2^.3.29 

7.199 

2. 17.41 
3'-5-3i 
2 --349 
11.127 

2-3-233 



'■5 --7 



1400 
1450 



23.52.7 

3-467 
2.701 

23-61 
22.33.1, 

5.281 

2-19-37 

3-7-67 

2 ' . I K 



2-3-5-47 

17-S3 
2 '-353 
3^-157 
2.7. lOI 

5-283 

2 '-3-59 
13.109 
2.709 

3-11-43 

22.5.71 

72.29 
2-3'-79 



2^.89 
3-5'- 19 
2-23-31 

2--3-7-17 
2. 5. II. 13 

3 '-53 
23.179 



2-3-239 
5-7-41 
2 2-359 
3-479 
2-719 



11*131 

2-7-103 

3-13-37 
22.192 

5.172 
2-3-241 



23.181 

3^-7-23 

2.52.29 



1450 
1500 



2.52.29 
22.3.112 

2-727 

3-5-97 

2^-7-13 

31-47 
,.36 



2^-5-73 

3-4S7 

2-17-43 

7. II. 19 

23.3.61 

5-293 

2-733 

3^-163 

22.367 

13-113 

2-3-5-7^ 



2*5.23 

3-491 
2.11.67 

5^-59 
22.32.41 

7.211 

2-739 

3-17-29 

2^-5-37 



2.3. 13. 19 



3'-5-ii 
2-743 

2^-3-3'i' 



2-5-149 

3-7-71 

22-373 

2-3^-83" 
5-13-23 

23. II. 17 

3-499 
2.7.107 



BROWN & SHARPE MFG. CO. 



127 



From 
To 



o 

I 

3 
4 
5 
6 

7 
8 

9 
10 

II 
12 
13 
14 
15 
16 

17 
18 

19 
20 

21 
22 
23 
24 
25 
26 
27 
28 
29 
30 

31 
32 
33 
34 
35 
36 
37 
38 

39 
40 

41 
42 

43 
44 
45 
46 
47 
48 
49 
50 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 
72 
73 
74 
75 
76 
77 
78 
79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 
97 
98 
99 
100 



1500 
1550 



19.79 

2-751 

32.167 

2-^.47 

5-7-43 

2-3-25I 

II. 137 

22.13.29 

3-503 

2-5-151 



17.89 

2-757 
3-5-IOI 
2'-379 
37-41 
2.3. 11.23 

7^-31 
24.5.19 



2.761 

22.3.127 

52.61 

2.7.109 

3-509 
2^.191 
II. 139 
2.3^.5.17 



2^-383 

3-7-73 

2-13-59 

5-307 

2^-3 

29-53 

2.769 

3'-i9 

22.5. 7.11 

23.67 
2-3-257 

2 '-193 
3-5-103 

2-773 

7-13-17 

2--3'-43 



•31 



1550 
1600 



2-5^-3i 

3-II-47 
24.97 



2-3-7-37 

22.389 

3'-i73 
2. 19.41 



2'-3-5-i3 

7.223 
2.11-71 
3-521 
22.17.23 

5-313 
2.3=*. 29 

2^-7^"*" 

3-523 

2-5-I57 



22.3.131 
112.13 

2.787 

3'-5'-7 
23.197 
19.83 
2.3.263 

22.5.79 

3-I7-3I 
2-7-113 

24.32.11 

5-317 
2.13.61 

3-23' 
22.397 

7.227 

'^''i'S'SZ 

37-43 
2^.199 

3' -59 
2-797 
5. II. 29 
22.3.7.19 

2-17.47 
3-13-41 

2"-5^ 



1600 
1650 



2-3'-«9 

7-229 

22.401 

3-5-107 
2-11-73 



23.3.67 

2-5-7-23 

3'-i79 
22.13.31 



2.3.269 
5.17.19 

24.IOI 
3.72. II 
2-809 

22-3^-5 



2-811 

3-541 
23.7.29 

5'-i3 
2.3.271 



2^-11-37 

32.181 

2-5-163 

7-233 
2-5-3-17 

23-71 

2-19.43 

3-5-109 



2-3^-7.13 

11-149 

23-5-41 

3-547 
2-821 

31-53 
22.3.137 

5-7-47 

2-823 

33-61 

2^-103 

17-97 

2-3-52. II 



1650 
1700 



2-3.52. II 
13.127 
22.7.59 
3.19.29 

2-827 

5-331 

23.32.23 



2-829 
3-7-79 

2^-5-83 

11-151 
2-3.277 



2^.13 

3'-5-37 

2-72.17 

22.3.139 
2.5.167 

3-557 
23.11.19 

7-239 
2.33.31 

5^-67 
22.419 

3-13-43 
2-839 
23-73 
2'-3-5-7 

412 
2.292 
32. II. 17 
22.421 

5-337 

2-3-281 

7.241 

23-211 

2-5-13' 

19.89 

22.32.47 

2.7.112 

3-5-1 13 

2^-53 



•3-283 
-5-17 



1700 
1750 



22.52.17 

3'-7 
2-23-37 
13-131 
23.3.71 

5-11-31 
2-853 
3-569 
22.7.61 



13 



2.3^.5.19 

29-59 
24.107 

3-571 
2-857 
5-7' 
22. 3. II. 

17.101 

2-859 
32.191 

2^-5-43 



2.3.7.41 

22.431 

3-5^-23 
2-863 

11-157 
2^.33 

7.13.19 

2-5-173 

3-577 
2 '-433 



2-3-17' 

5-347 

23.7.31 

3'- 193 
2-11-79 

37-47 
22.3.5.29 



2-13-67 

3-7-83 

24.109 

5-349 
2-3'-97 



2-19-23 
3-11-53 

2-5'-7 



1750 
1800 



2-5-^-7 
17-103 
2'-3-73 

2-877" 

3^-5-13 
22.439 

7-251 
2-3-293 



2^-5-11 

3-587 
2.881 

41-43 

22.32.72 

5-353 
2-883 

3-19-31 
23.13.17 

29.61 
2-3-5-59 

7-11-23 
2 '-443 
3'-i97 
2.887 

5'-7i 
2^-3-37 

2-7-127 

3-593 

22-5-89 



13-137 
2.34.11 



23.223 

3-5-7-17 
2.19.47 



2^.3.149 

2-5-179 

32.199 

2S.7 

11-163 

5-359 
2 -'-449 
3-599 
2-29-31 

7-257 
2^-3^-5^ 



128 



BROWN & SHARPE MFG. CO. 



From 
To 



o 

I 

3 
4 
5 
6 

7 
8 

9 

lO 

II 

12 

13 
14 
15 
i6 

17 
i8 

19 
20 

21 
22 
23 
24 
25 
26 

27 
28 

29 

30 

31 
32 

33 
34 
35 
36 
37 
38 
39 
40 

41 
42 
43 
44 
45 
46 
47 
48 
49 
50_ 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 
72 
73 
74 
75 
76 

77 
78 
79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 

97 

98 

99 

100 



1800 
1850 



2-I7-53 
3.601 

22.11. 41 

5-19' 
2-3-7-43 
13-139 
24.113 

33.67 
2.5.181 



2^.3.151 

7^-37 
2.907 

3-5-II' 

2^.227 

23-79 

2.32-IOI 

17.107 

22.5.7.13 
3.607 

2. 911 



2^-3-i9 
5^-73 
2. II. 83 
32.7.29 

2^-457 

31-59 

2.3.5.61 



2^.229 

3-13-47 
2.7. 131 

5-367 

22.33.17 

11.167 

2.919 

3-613 

2'-5-23 

7.263 
2-3-307 

19-97 
22.461 

3'-5-4i 
2.13.71 

23.3.7.11 

43^ 

2-5'-37 



1850 
1900 



2-5^-37 

3.617 

22.463 

17.109 

2.32.103 

5-7-53 
26.29 
3.619 
2.929 
II. 132 

2'-3-5-3i 



2.7^-19 

3*-23 
23.233 

5-373 
2-3-311 

22.467 

3-7-89 
2. 5. II. 17 



24.32.13 



2-937 

3-5^ 

22.7.67 

2-3-313 

2'-5-47 

32. II. 19 

2.941 

7.269 

2'-3-i57 

5-13-29 

2.23.41 

3-17-37 
25.59 

2-3'-5-7 

31-61 
22.11.43 

3-631 
2-947 

5-379 
23.3.79 

7-271 

2-13-73 

32.211 

2--5--I9 



1900 
1950 



2-3-317 
II. 173 
2^.7.17 
3-5-127 
2-953 

2^.3''-*53' 

23-83 

2-5-191 

3-7'-i3 
23.239 



29 



2-3. II 

5-383 

22.479 

33.71 

2-7-137 
19.101 

2'-3-5 

17.113 

2.312 

3.641 

22.13.37 

52.7:11 

2.32.107 

41.47 

23.241 

3-643 

2-5-193 



22.3.7.23 

2-967 
3^-5-43 

2*. ■■ 
13- 



11^ 
149 



2-3-I7-I! 

7-277 
22.5.97 

3-647 
2.971 

29-67 

5-389 
2.7.139 

3- 1 1-59 

22.487 



2-3-5- 



1950 
2000 



2-3-5'-i3 



2^.61 

3'-7-3i 

2-977 

5-17-23 

22.3.163 

19.103 

2. II. 89 

3-653 

23.5.72 

37-53 
2.32.109 

13-151 
22.491 

3-5-131 

2-983 
7.281 
24.3.41 
II. 179 
2-5-197 

3'-73 
22.17.29 

2-3-7-47 

5-79 

23.13.19 

3-659 
2-23-43 



2^.3^.5.1 

7-283 
2.991 
3-661 
26.31 

5-397 
2-3-331 

22.7.71 

3'-i3-i7 
2.5.199 

II. 181 
23.3.83 

2-997 

3-5-7-19 
22.499 

2-3'-37 



2000 
2050 



24.53 

3-23-29 
2. 7. II. 13 

22.3.167 

5.401 

2.17.59 

32.223 

23.251 

72.41 

2-3-5-67 



22.503 
3.11.61 
2-19-53 

5-13-31 

25.32.7 



2.1009 

3-673 
22.5. lOI 



43-47 

2-3-337 

7.172 

23.11.23 

3^-5^ 
2.1013 



2-5-7-29 

3-677 
2-4.127 
19.107 
2. 32. 113 

5-II-37 
22.509 

3-7-97 
2.1019 



23.3.5.17 

13-157 

2.1021 

32.227 

2'-7-73 

5-409 

2-3.11.31 

23-89 

2^1 

3-683 

2-5--4I 



2050 
2100 



2.5-.4I 

7-293 
22.33.19 

2.13.79 

3-5-137 

23.257 
1 1 2. 17 
2.3.73 
29-71 
22.5.103 



3^.229 
2-1031 

2*-3-43 

5-7-59 

2.1033 

3-13-53 

22.11.47 

2-3'-5-23 

19.109 

2^^-7-37 

3.691 

2.17.61 

5'-83 
22.3.173 

31.67 
2.1039 
33. 7. II 

2'-5-i3 



2-3-347 

22.521 

3-5-139 
2.7.149 

23.32.29 

2. 5. II. 19 



3-17-41 

2^-523 

7-13-23 

2-3-349 

5-419 

24.131 

3^-233 
2.1049 

2^-3-5--7 



BROWN & SHARPE MFG. CO. 



129 



From 
To 



2100 
2150 



2150 
2200 



2200 
2250 



2250 
2300 



2300 
2350 



2350 
2400 



o 

I 

2 

3 
4 
5 
6 

7 
8 

9 
10 

II 
12 
13 
14 
15 
16 

17 
18 

19 
20 

21 
22 
23 
24 
25 
26 

27 
28 

29 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

41 
42 
43 
44 
45 
46 

47 
48 

49 
50 



SO 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 

72 
73 
74 
75 
76 

77 
78 
79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 

97 
98 

99 
100 



ii'i9i 

2-1051 

3.701 

23.263 

5-421 

2-3*-i3 

7^-43 

22.17.31 

3- 19-37 
2.5-211 



2''-3- 



2-7-151 
3'-5-47 

22.232 

29-73 

2-3-353 

13-163 

2'-5-53 

3'7.ioi 
2-1061 
11-193 

2^-3'-5S 

5^-17 

2-1063 

3-709 
2-^-7.19 



2-3-5-71 



2^.13.41 

3'-79 
2. 11.97 
5-7.61 
23.3.89 

2.1069 

3-23-3I 
22.5.107 



2.32.7.17 

2^.67 

3-5-II-I3 

2-29-37 

19.113 

22.3.179 

7-307 
2 -5 '-43 



2-5'-43 
3'-239 
2^.269 



2-3-359 

5-431 
22.72.11 

3-719 

2-13-83 
17.127 

2-^-3'-5 



2-23-47 
3-7-103 
22.541 

5-433 
2.3.192 

II. 197 
23.271 

3^-241 
2-5-7-31 

13.167 
22.3.181 

41-53 

2.1087 

3-5'-29 
27.17 

7-311 

2. 32.112 



2^.5.109 

3-727 
2.1091 

37-59 
23.3.7.13 

5-19-23 
2.1093 

3^ 

2^-547 

11.199 

2-3-5-73 

7-313 
2^.137 

3-17-43 
2.1097 

5-439 
22.32.61 

13^ 
2-7-151 

3-733 

2*.t;2.ii 



2-^.52.11 

31-71 

2-3-367 



-3^-5- 



2^.19.29 

3'-5-7' 
2.1103 

25.3.23 

47^ 
2.5.13.17 

3.11.67 
22.7.79 



2.3-.41 
5-443 

23.277 

3-739 
2.1109 

7-317 
22-3-5-37 



2.II.IOI 
32.13.19 

2^-139 

5-89 

2-3-7-53 
17. 131 

2'-557 
3-743 

2-5-223 

23-97 
23.32.31 

7.11.29 
2.1117 

3-5- 149 
22.13.43 



2-3-373 

26.5.7 

3^-83 
2.19.59 



2^-563 
3-751 

2.72.23 

5.11.41 

2^-3-47 

37.61 

2.1129 

32-251 
22.5.113 

7.17.19 

2-3-13-29 

31-73 

23.283 

3-5-151 
2. II. 103 

22.34V7 ■■ 

2.5.227 



3-757 
25.71 



2-3-379 
52-7-13 
22.569 

3'-ii-23 
2.17.67 

43-53 
23.3.5.19 



2.7.163 
3.761 

22.571 

5-457 
2.32.127 



2*'II.I3 

3.7.109 
2-5-229 

29-79 
22.3.191 



22.3.11.17 

5-449 

2.1123 

3.7.107 

23.281 

13-173 



2-31-37 
3'-5-i7 
23.7.41 



2^-5^-23 

3-13-59 

2.1151 

72-57 

28.32 

5.461 

2-II53 
3-769 

22.577 

2-3.5.7.11 



2^.17^ 

3'-257 

2-13-89 

5-463 
22.3-193 

7-331 
2-19-61 

3-773 
2^-5-29 

II.2II 

2-3'-43 
23-101 

22.7-83 

3-5'-3i 
2.1163 

13-179 
23.3.97 

17-137 
2-5-233 

3'-7-37 
22-11-53 



2-3-389 

5-467 
25.73 

3.19-41 

2-7.167 



2-52-47 

2^-3-7'2' ' 
13.181 
2. II. 107 

3-5-157 
22.19-31 

2.32. 131 

7-337 

2'-5-59 

3-787 
2.1181 

17-139 
22.3.197 

5- 1 1 -43 

2.7.132 

3'-263 

26.37 

23.103 
2-3-5-79 



2 2-593 
3-7-113 
2.1187 

5'-i9 

23.33.11 

2.29.41 
3-13-61 

22-5-7-17 



2-3-397 



2^.149 
3'-5-53 
2-1193 
7. 11.31 
22.3.199 



■3--5-13 



2-1171 
3-11-71 

23-293 

5-7-67 
2-3-17-23 



2-3-383 

112.19 

22.52.23 



22.587 

3'-29 

2-52-47 



2-5-239 

3-797 
23.13.23 

2-32-7-19 

5-479 

22.599 

3-17-47 
2.11.109 

2-'-3-52 



I30 



BROWN & SHARPE MFG. CO. 



From 
To 



2400 
2450 



2450 
2500 



2500 
2550 



2550 
2600 



2600 
2650 



2650 
2700 



o 
I 
2 
3 
4 
5 
6 

7 
8 

9 
10 

II 
12 
13 
14 
15 
16 

17 
18 

19 
20 

21 
22 
23 
24 
25 
26 

27 
28 

29 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

41 
42 
43 
44 
45 
46 
47 
48 
49 
30_ 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 
72 
73 
74 
75 
76 

77 
78 

79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 

97 

98 

99 

100 



25.3.52 
7* 

2«I20I 

33.89 

22.601 

5- 13-37 

2.3.401 

29.83 

2'-7-43 

3-II-73 

2.5.241 



22.32.67 

19.127 

2.17.71 

3-5-7-23 
2^.151 



2-3-I3-3I 

41-59 
22.5.112 

32.269 
2.7.173 



23.3. lOI 

5^-97 

2-1213 

3.809 

22.607 

7-347 

2-3'-5 

II. 13.17 
2'. 19 

2*1217 

5-487 
22.3.7.29 

2-23-53 

32.271 

23.5.61 



2.3.11.37 

7-349 
22.13.47 

3-5-163 
2.1223 

2L32.17 

31-79 

2-5^-7^ 



2.52.72 

3- 19-43 
22.613 
11.223 
2.3.409 

5-491 
23.307 

3'-7-i3 
2.1229 



2^-3-5-4i 

23.107 

2.1231 

3.821 

2^.7. II 

5.17.29 

2.32.137 



22.617 
3-823 
2.5. 13.19 

7-353 
23.3.103 



2.1237 
32.52.j1 

22.619 

2-3-7-59 

37-67 

2^-5-31 

3-827 
2.17.73 
13. 191 

22.33.23 

5-7-71 

2. II. 113 

3.829 

23.311 

19.131 

2-3-5-83 

47-53 
22.7.89 

3'-277 

2-29-43 

5-499 

2' -3- 13 

11.227 

2.1249 

3.72.17 

22.;;4 



22.54 

41.61 
2.32.139 



2^.313 

3-5-167 

2.7.179 

23.109 

22.3.11.19 

13-193 

2-5-251 

3^-31 
2^-157 
7-359 
2.3.419 

5-503 
22.17.37 

3-839 

2.1259 

11.229 

23.32.;. 7 



2.13.97 

3.292 

22.631 

52.101 

2.3.421 

7.192 

2^.79 

32.281 

2.5.11.23 



2-^.3.211 
17.149 

2.7. 181 

3-5-13' 
23.317 

43-59 
2-3'-47 

22.5.127 

3.7.112 
2.31.41 



2.3.52.17 



23.11.29 

3-23-37 

2.1277 

5-7-73 
22.32.71 



2^-3-53 

5-509 

2.19.67 

3.^-283 
22.72.13 



•3-5-17 



2*1279 
3-853 

2!-5 

13-197 
2.3.7.61 

11-233 
22.641 

3'-5-i9 

2.1283 
17.151 
23.3.107 
7-367 

2-5-257 

3-857 
22.643 

31-83 
2.32. II. 13 

5'-i03 
24.7.23 

3-859 
2.1289 

2 '-3-5-43 

29.89 
2.1291 

3'-7-4i 
23.17.19 

5- 1 1 -47 
2-3-431 
13-199 
22.647 

3-863 

2-5-7-37 



2*1297 

3-5-173 
22.11.59 

7'-53 

2-3-433 

23-113 

2'^*5--i3 



23.52.13 

3'-i7' 
2.1301 

19-137 
22.3.7.31 

5-521 
2*1303 
3.11.79 
24.163 



2.3^.5.29 

7-373 
2^*653 
3-13-67 
2.1307 

5-523 
23.3.109 

2. 7. II. 17 

3 '-97 

2-*5-i3i 



2*3-19-23 

43.61 

2*5.41 

3-5'-7 
2. 13. 101 

37-71 

2'*3'-73 

11.239 

2*5-263 

3-877 
23.7.47 

2-3-439 

5-17-31 

22.659 

32.293 

2.1319 

7.13.29 

2**3-5-11 

19-139 
2.1321 

3-881 
22.661 

5-23' 
2.33.72 

2 '-33 1 

3-883 

2-5-53 



2*5 '-53 
II. 241 
22.3.13.1^ 

7-379 

2.1327 

3'-5-59 
25.83 

2-3-443 

22.5.7.19 

3-887 

2.1l3 

23.32.37 

5-I3-4I 
2-31-43 

3.7.127 

22.23.29 

17-157 
2.3.5.89 



2^.167 

35.11 

2.7.I9I 

52.107 

22.3.223 

2*13-103 
3-19-47 

23.5.67 

7-383 
2.32.149 

22. II. 61 

3-5-179 
2.17.79 

2'-3-7 

2.5.269 



3-13-23 
22.673 

2*3-449 

5.72.11 

2'-337 
3-29-31 
2. 19.71 



BROWN & SHARPE MFG. CO. 



131 



From 
To 



i8700 
2750 



2750 
2800 



2800 
2850 



2850 
2900 



2900 
2950 



2950 
3000 



o 

I 

2 

3 
4 
5 
6 

7 
8 

9 
10 

II 
12 
13 
14 
15 
16 

17 
18 

19 
20 

21 
22 
23 
24 
25 
26 

27 
28 

29 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

41 
42 
43 
44 
45 
46 

47 
48 

49 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 
72 
73 
74 
75 
76 

77 
78 
79 
80 

81 
82 
83 
84 
85 
86 

87 
88 
89 
90 

91 
92 
93 
94 
95 
96 

97 
98 

99 
100 



22.33.52 

37-73 
2.7.193 

3-I7-53 

2*.I32 

5-541 
2.3.11.41 

22.677 

3^-7-43 
2.5.271 



23.3. 



2-23-59 
3-5-i«i 

22.7.97 

II. 13. 19 
2.32. 151 



2^.5.17 

3-907 
2.1361 

7-389 

22.3.227 
52.109 

2-29-47 

33.101 

23.11.31 

2-3-5-7-13 



22.683 

3-9II 
2.1367 

5-547 
2^.32.19 

7-17-23 

2-37' 

3.11.83 

2'-5-i37 



2-3-457 
13. 211 

23.73 

3'-5-6i 

2-1373 

41.67 

22.3.229 

2-53.11 



2.5^.11 

3-7-131 
2 6.43 

2-3:-i7 
5.19.29 

2'-i3-53 

3-919 

2.7.197 

31.89 

2'-3-5-23 

1 1.25 1 
2-1381 
3^-307 
22.691 

5-7-79 
2.3.461 

2^-173 
3-13-71 

2-5-277 

17.163 
22. 32. 7. II 

47-59 
2-19-73 
3-5'-37 
2 •^•347 



2-3.463 

7-397 
22.5.139 

33.103 
2. 13.107 
iif.23 

2'^.'3.29 

5-557 
2.7.199 

3-929 

22-17-41 

2-3'-5-3i 



2 3-349 

3-72.19 

2.11.127 

5-13-43 

2--3-233 

3-1399 

3'-3" 

24.52.7 



24.52.7 
2.3.467 

22.701 

3.5.11-17 

2-23-61 

7.401 

23.33.13 

53^ 
2.5.281 

3-937 
22.19.37 

29-97 
2.3-7-67 

5-563 

2^-11 

3'-3i3 
2.1409 

2--3-5-47 

7-13-31 

2.17.83 

3-941 

2'-353 
5'-ii3 
2-3'-i57 
11-257 
22-7. lOI 

3-23-41 

2.5.283 

19.149 
2^-3-59 

2. 13.109 

3*-5-7 
22.709 



2.3.52.19 



2.3-11.43 
17.167 

2^-5-71 

3-947 
2.72.29 

22.32.79 ■ 

5-569 
2.1423 

3-13-73 

2-^-89 

7-11-37 

2-3-5--I9 



22.23.31 

3'-3i7 
2-1427 

5-571 
23.3.7.17 

2-1429 

3-953 

22.5.11. 



13 



2-3'-53 

7.409 

24-179 

3-5-191 

2-1433 

47-61 

22.3.239 

19-151 

2-5-7-41 

32-11.29 

2'-359 
132.17 

2-3-479 

5'-23 

22-7i9 

3-7-137 
2-1439 

20:32.5" 

43-67 
2-11-131 

3-31' 
22.7-103 

5-577 
2-3-13-37 



33.107 
2-5-172 

7^-59 



3-241 



_;2. 

11-263 

2.1447 

3-5-193 
2 4 - 1 8 1 



2-3--7-23 
13.223 

22.52.29 



2^.5^. 

3-967 
2-1451 



23.3.11^ 

5-7-83 

2-1453 
32.17.19 

22.727 



2-3-5-97 

41.71 

2^.7.13 

3-971 
2-31-47 

5- 1 1 -53 

22.36 

2-1459 
3-7-139 

2'-5-73 

23-127 
2-3-487 

37-79 
22-17.43 

3'-5'-i3 
2-7-11.19 

2^-3-61 
29-101 
2-5-293 

3-977 
2 '-733 
7-419 
2-32.163 

5-587 
23.367 

3-11-89 
2.13.113 

22.3.5.72 

17-173 
2-1471 
33.109 

2'. 23 

5-19-31 

2.3.491 

7.421 

22.11.67 

3-983 

2-5^-59 



2-5^-59 

13-227 

23.32.41 



2.7.211 

3-5-197 
22.739 

2-3-17-29 
11.269 

2'*-5-37 

3'-7-47 
2.1481 

22.3.13.19 

5-593 

2-1483 

3-23-43 

2'-7-53 

2.33.5. II 



2^-743 
3-991 

2.1487 
52.7.17 
25.3.31 
13-229 
2.1489 

3'-33i 
22.5-149 

II. 271 
2-3-7-71 

19-157 
23.373 

3-5-199 

2-1493 

29.103 

2^-3'^-83 
72.61 

2-5-13-23 



17 



3-997 
2 ' . 1 1 

41-73 
2-3-499 
5-599 
22-7-107 

3'-37 
2.1499 

2^-3-5^' 



132 



BROWN & SHARPE MFG. CO. 



From 
To 


3000 
3050 


3050 
3100 


3100 
3150 


3150 
3200 


3200 
3250 


3250 
3300 


o 

I 

2 
3 
4 
5 
6 

7 
8 

9 

lO 

II 

12 

13 
14 
15 
i6 

17 
i8 

19 

30 

21 

22 
23 
24 

27 

28 
29 

30 

31 
32 

33 
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35 
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45 
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47 
48 
49 
50 


50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 

i^ 

\^ 
65 

66 
67 
68 
69 
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71 

72 
73 
74 
75 
76 
77 
78 

81 

82 

i^ 
84 

85 

86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 

% 

99 
100 


2.3.3.53 


2.52.61 

3'-ii3 
22.7.109 

43-71 

2-3-509 

5-13-47 

2^^.191 

3.1019 

2-II-I39 

7-19-23 
22.32.5.17 

2-1531 
3. 102 1 

2^-383 

5-613 

2-3-7-73 


2^-5^-31 

7-443 

2.3.11.47 

29.107 

25.97 

3^-5-23 
2-1553 
13-239 
2^-3-7-37 


2.32.52.7 

23-137 
2^.197 

3-1051 

2-19-83 

5-631 

22.3.263 

7.11.41 

2-1579 

3^-13 

23.5.79 

29.109 
2-3-17-31 


2-52 , 

3-II-97 
2-1601 


2-5^-13 


2.19.79 
3.7.11.13 

2^-751 

5.601 

2.32.167 

31-97 

26.47 

3-I7-59 
2-5-7-43 

22.3.251 

23-131 
2. II. 137 

3^-5-67 
23.13.29 

7-431 
2-3-503 

2^-5-i5i 

3-19-53 

2-1511 


22.3.271 


22.32.89 

5.641 

2.7.229 

3.1069 

23.401 

2.3.5.107 

132.19 

22-11-73 

33.7.17 

2.1607 

5-643 
2^.3-67 

2.1609 

3-29-37 

22.5.7.23 

2. 32. 'i 79" 

11-293 
23.13.31 

3-5'-43 
2-1613 
7-461 
22.3.269 


2.1627 

3-5-7-31 
23.11.37 


2.32. 181 

22.5.163 

3.1087 
2-7-233 
13-251 
26.3.17 

5-653 

2-23.71 
33.112 
22.19.43 

7-467 
2-3.5-109 

23.409 
3.1091 
2-1637 

5'-i3i 

22.32.7.13 

29-113 
2. II. 149 

3-1093 
24.5-41 

17-193 

2-3-547 

72.67 

22.821 

3^-5-73 

2-31-53 

19-173 
23.3.137 

II. 13-23 

2-5.7.47 

3.1097 

22.823 

37-89 
2-33-61 

5-659 
25.103 

3-7-157 
2-17-97 


2-5-3II 

3.17.61 

23.389 
11.283 
2.32.173 

5-7-89 
22.19.41 

3-1039 

2-1559 

2''-3-5-i3 


22.7.113 

3-5-2II 

2-1583 

2 5.32Vil'" 

2-5-317 

3-7-151 
22.13.61 
19.167 
2.3.232 

52.127 
23.397 

3^-353 

2.7.227 
II. 172 

2^-3-5-53 


2^-13-59 
3^-11-31 
2-5-307 

37-83 
210.3 

7-439 

2-29-53 

3-5^-41 

22.769 

17.181 

2.34.19 


2.7.223 

3^-347 
22. II. 71 

5^ 

2-3-521 

53-59 

23.17.23 
3.7.149 

2-5-313 

31.101 

22.33.29 

13.241 

2-1567 
3.5. II. 19 

26.72 

2-3-523 
43-73 

2^-5-157 

3^-349 

2-1571 

7-449 
23.3.131 

5-17-37 
2-112.13 

3.1049 

22.787 

47-67 

2.32.52.7 


24.33.7 
52.112 

2.17.89 
3.1009 
2'-757 
13-233 
2.3.5. lOI 

7-433 
23.379 

3'-337 
2.37.41 
5.607 
22.3.11.23 

2.72.31 

3-1013 
25.5.19 


23.5. 7.11 

3-13-79 

2.23.67 


2.5. 17. 19 
3^-359 

2 5.IOI 

53-61 

2. 3.72. II 

5-647 
22.809 

3-13-83 
2.1619 
41.79 

2^-3^-5 

7-463 
2.1621 

3-23-47 
22.811 

5-II-59 

2-3-541 

17.191 

24.7.29 

32.192 

2-5^-13 


2-37-43 

3.1061 

2^.199 

5-7^-13 
2-3'-59 

2^-797'" 

3.1063 

2.5.11.29 


22.3.257 
5.617 

2-1543 

32.73 

2*-i93 


2-3-5-103 

II. 281 

22.773 

3-1031 

2-7-13-17 
5.619 

2^-3^-43 
19.163 

2-1.549 

3-1033 
22.52.31 


2.32.132 

17.179 

22.761 

3-5-7-29 

2-1523 

11.277 

23.3.127 


23.3.7.19 

31-103 

2-1597 

3'-5-7i 
22.17.47 

23-139 
2.3.13.41 

7-457 

2V.52 


2.52.61 


22.3.52. II 



BROWN & SHARPE MFG. CO. 



33 



From 
To 



3300 
3350 



3350 
3400 



3400 
3450 



3450 
3500 



3500 
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35 
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.50 



50 
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81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 

97 

98 

99 

100 



2^.3.5^.11 

2-I3.I27 

3^-367 
23.7.59 

5.661 

2.3.19.29 

22.827 

3- 1 103 

2-5-33I 

7- 1 1-43 . 



2.1657 

3-5-I3-I7 
22.829 
31.107 
2.3.7.79 

23:5.83" 

3*-4i 
2. II. 151 



22.3.277 
52.7.19 
2.1663 
3. 1 109 
28.13 

2-3'-5-37 



22.72.17 

3.11.101 

2.1667 

5-23-29 
23.3.139 

47.71 

2-1669 

3'-7-53 
22.5.167 

13-257 

2-3-557 

2^.11.19 

3-5-223 
2.7.239 

22.33.31 

17.197 

2-5'^-67 



2.52.67 
3.1117 
23.419 

7-479 

2-3-13-43 

5. II. 61 

22.839 

3'-373 

2-23-73 

2^-3-5-7 



2.41^ 

3-19-59 

22.292 

5-673 
2.32. II. 

7-13-37 
23.421 
3-1123 
2-5-337 



22.3.281 



2.7.241 

3^-5^ 

2^.211 

11.307 

2-3-563 
31.109 

22.5.132 

3-7'-23 
2-19.89 
17.199 
23.32.47 

5-677 

2-1693 

3-1129 

22.7.112 

2-3-5-II3 



2''-53 
32.13.29 

2-1697 

5-7-97 
22.3.283 

43-79 

2-1699 

3.11.103 

23.52.17 



2^-5'-i7 
19.179 

2.35.7 
41.83 
22.23.37 

3-5-227 
2. 13. 131 



2-3-5'-23 

7-17-29 

22.863 

3-1151 
2. II. 157 

5-691 
27.33 



2^.3.71 

7.487 

2.5.11.31 



2.7.13.19 
3-II53 

73 



22.5. 



•379 

-853 



•3-577 



2-3-569 

5-683 

23.7.61 

3-17-67 
2-1709 
13-263 
2^-3^-5-19 

11-311 

2-29-59 

3-7-163 

2^.107 

5'-i37 

2-3-571 

23-149 

22.857 

33.127 

2.5.73 

47-73 
23.3.11.13 

2-17. lOI 

3-5-229 

22.859 

7.491 

2.32. 191 

19-181 

2'-5-43 

3-31-37 

2-1721 

11-313 
22.3.7.41 

5-13-53 
2-1723 
3'-3«3 



2 '-433 

3'-5-7-ii 

2-1733 



22.3.172 

2-5-347 

3-13-89 
2^.7.31 

23-151 
2-32.193 

5'-i39 
22.11.79 

3. 19-61 

2-37-47 

72.71 

23.3.5.29 

59' 
2.1741 

3'-43 
22.13.67 
5. 17-41 
2.3.7-83 
11.317 
2^.109 
3- 1 163 
2-5-349 



23.43] 



2'-3'-97 

7-499 

2-1747 

3-5-233 

23.19-23 

13.269 

2-3-"-53 



2^.5.^.7 

3^-389 
2-17-103 

31-113 
2^-3-73 
5.701 

2-1753 
3.7.167 
22.877 
112.29 
2-3'-5-i3 



23.439 
3-1171 

2-7.251 

5-19-37 
22.3.293 



2-1759 
32.17.23 

26.5.11 

7-503 
2-3-587 
13.271 
22.881 

3-5'-47 
2-41.43 

23.32.7V 

2-5-353 

3.11. 107 

22.883 



2-3-19-31 
5.7.101 

2'i. 13.17 

3'-i3i 
2-29-61 

2'-3-5-59 



2-3-5^-23 



:517. 



2-7-11.23 
3.1181 

2' -443 

5-709 

2.32.197 

22.887 
3-7-13' 

2-5''-7i 



2.5^.71 
53-67 
2^-3-37 
11-17-19 

2-1777 
3'-5-79 

22.7.127 

2-3-593 
2^-5-89** 

3.1187 
2-13-137 

7-509 
22.34.11 

5-23-31 
2-1783 
3-29-41 

2^.223 

43-83 
2.3-5.7-17 



22-19.47 

3'-397 

2-1787 

5'-ii-i3 
23.3.149 



2-1789 

3- 1 193 
22.5.179 



2.3^.199 



2^.7 

3-5-239 

2.11.163 

17-211 

2^-3-13 

37-97 

2-5-359 

33.7.19 
2 3-449 

2-3-599 
5-719 
22.29-31 
3.11.109 

2-7-257 

59.61 

2^-3^-5^ 



23 



134 



BROWN & SHARPE MFG. CO. 



From 
To 



3600 
3650 



3650 
3700 



3700 
3750 



3750 
3800 



3800 
3850 



3850 
3900 



o 

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4 
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5 

7 
8 

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II 
12 
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16 

17 

18 

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25 
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50 
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67 
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71 
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81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 

97 

98 

99 

100 



24.32.52 

13-277 
2-i8oi 
3-1201 

2'-i7-53 

5-7-I03 

2.3.601 

23.11.41 

32.401 

2.5.192 

23-157 
2'-3-7-43 

2. 13.139 

3-5-241 
25.113 

2.33.67 
7. 1 1.47 
22.5.181 

3-17-71 
2.1811 



■3-151 
•29 



2.7^.37 

3'-i3-3i 
22.907 
19.191 
2.3.5.112 



24.277 

3-7-173 
2.23.79 

5-727 
22.32.101 

2. 17. 107 
3-1213 

23.5.7.13 

11-331 
2.3.607 



3''-5 
2.1823 

7-521 
26.3.19 

41.89 

2-5'-73 



2-5'-73 

3.1217 

22.11.83 

13.281 

2.32.7.29 

5-17-43 

2^-457 

3-23-53 

2-31-59 

22.3.5.61 

7-523 
2.1831 

3'-ii-37 

2'^. 229 

5-733 
2-3-13-47 

19-193 

22.7. 131 

3.1223 
2-5-367 



2^.33.17 



2. II. 167 

3-5^-7^ 
22.919 



2.3.613 
13-283 

2^-5-23 



3^.409 

2.7.263 

29.127 

22.3.307 

5. 1 1.67 

2.19.97 

3.1229 

23.461 

7. 17.31 

2.32.5.41 



22.13.71 

3-1231 
2.1847 

5-739 
24.3.7.11 



2^.5^.37 

2.3.617 

7-23' 
23.463 

3-5-13-19 
2. 17. 109 

11-337 
22.32.103 

2-5-7-53 

3-1237 
2''. 29 
47.79 
2.3.619 

5-743 
22.929 

3'-7-59 
2. II. 132 



2"-3-5-3i 

6i2 

2.1861 

3-17-73 

22.72.19 

5'-i49 
2.34.23 



2-43' 

3^-1: 

22.5 = 



•37 



24.233 

3-11-113 

2-5-373 

7.13.41 
22.3.311 

2.1867 

3^-5-83 
23.467 
37.101 
2-3.7.89 

22.5.11.17 

3-29-43 

2.1871 
19.197 
25.32.13 

5.7.107 

2.1873 

3.1249 

22.937 

23.163 

2-3-5^ 



2-3-5* 
112.31 

23.7.67 

3'-i39 

2.1877 

5-751 

2^-3-313 

13-17^ 

2.1879 

3-7.179 

2''-5-47 

2.32.11.1C 

53-71 
22.941 

3-5-251 
2-7-269 

2^-3-157 
2.5.13.29 

3^-419 

22.23.41 

73.11 

2-3-17-37 
5^-151 
2 '-59 
3-1259 
2.1889 

22.33.5.7 

19.199 
2-31-61 

3-13-97 
23.11.43 

5-757 
2.3.631 

7-541 
22.947 

3^-421 
2-5-379 

17-223 
24.3.79 

2.7.271 

3-5-11-23 
22.13.73 



23.52.19 

3.7.181 

2.1901 

22.3.317 

5.761 

2.11-173 

3'-47 

25.7.17 

13-293 

2.3.5.127 

37-103 

2 '-953 

3-31-41 

2.1907 

5.7.109 

2''-3'-53 

11-347 

2-23-83 

3.19.67 

22.5.191 



2.3.7^.13 

24.239 

3'-5'^-i7 
2-1913 

43-89 
22. 3. II. 29 

7-547 
2-5-383 

3.1277 
23.479 

2.33.71 

5-13-59 
22.7.137 

3.1279 

2-I9.IOI 

11-349 
2^-3-5 

23-167 
2.17.113 
32.7.61 
22.312 

5-769 
2.3.641 



2-32.211 

29-131 

23.52.19 



23.13-37 

3-1283 

2.52.7.11 



2.52.7.11 
22.32.107 

2.41.47 

3-5-257 

2*.24I 
7.19.29 

2-3-643 

17.227 
22.5.193 

33. II. 13 
2-I93I 

23.3.7.23 

5-773 

2-1933 

3.1289 

22.967 

53-73 

2-3'-5-43 

72.79 

2^.112 

3-1291 

2. 13.149 

5'-3i 

22.3.17. 19 

2.7.277 

3^-431 
23.5.97 



2-3-647 

11-353 
22.971 

3-5-7-37 
2.29.67 
132.23 
24.35 

2.5.389 

3.1297 

22.7.139 

17.229 

2.3-11.59 

5. 19.41 

23.487 

3 '-433 

2-1949 

7-557 

2^-3-5^-13 



BROWN & SHARPE MFG. CO. 



135 



From 
To 



o 

I 
2 
3 
4 
5 
6 

7 
8 

9 
10 

II 
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13 
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17 
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19 
20 

21 

22 
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26 
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28 
29 
30 

31 
32 
33 
34 
35 
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41 
42 
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44 
45 
46 
47 
48 
49 
50. 



50 
51 
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55 
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57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 
72 
73 
74 
75 
76 

77 
78 
79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 

97 

98 

99 

100 



3900 
3950 



13 



47-83 

2-1951 

3-1301 

26.61 

5-11.71 

2.32.7.31 

22.977 

3-1303 
2.5.17.23 



23.3.163 

7-13-43 
2. 19' 103 

3^-5-29 
22.ii.8q 



2-3-653 

2^:5.72" •* 

3-1307 

2-37-53 

22.32.109 

5' -157 
2-13-151 
3.7-11.17 
2^.491 

2-3-5-131 

22.983"* 
32-19.23 

2-7.281 

5-787 
25.3.41 

31-127 

2-11-179 

3-13-101 

22.5.197 

7-563 
2-3'-73 

2^.17.29 

3-5-263 

2-1973 

22.3.7.47 

11-359 
2^52.79 



3950 
4000 



2-5^-79 

3'-439 
2^.13.19 

59-67 
2-3-659 
5-7-113 
22.23-43 

3-1319 
2-1979 
37-107 

2^.32.5.11 

17-233 

2-7-283 

3-1321 
22.991 

5-13-61 
2-3-661 



2^.31 
3^-7^ 
2-5-397 

11-192 
22-3-331 
29-137 
2-1987 

3-5'-53 
23-7-71 

41-97 
2.32. 13.17 

23-173 
22.5.199 

3-1327 

2-II-l8l 

7-569 

2^-3-83 

5-797 
2-1993 

3 '-443 
22.997 

2-3-5-7-19 

13-307 
2 '-499 
3-n3 

2-1997 

5-17-47 
22.33.37 

7-571 
2.1999 

3-31-43 

2 ■'.5 3 



4000 
4050 



2-3-23-29 

22. 7. II. 13 

3^-5-89 
2.2003 



23.3.167 

19-211 

2-5-401 

3.7-191 

22.17.59 

2-32.223 

5- 1 1-73 
2^-251 
3-13-103 
2-72.41 

22.3-5.67 



2-2011 

3'-i49 

2^-503 

5'-7-23 

2-3-11-61 

22.19.53 

3-17-79 

2-5-13-31 

29-139 

2^.32.7 

37-109 

2-2017 

3-5-269 

22.1009 

11.367 

2-3-673 

7-577 

23.5. lOI 

3 '-449 
2-43-47 
13-31 1 
2 '-3-337 
5-809 
2-7-172 
3- 19-71 
2 '.11-23 



2-3'*-5^ 



4050 
4100 



2-3^-5^ 



2''.IOI3 

3-7-193 

2-2027 

5-8II 

23.3.132 



2-2029 

32.II.4I 
22.5.7.29 

3I-I3I 

2-3-677 

17.239 

2^-127 

3-5-271 

2-I9-I07 

72.83 
22.3^.113 

13-313 

2-5.II.37 

3-23-59 
23.509 

2-3-7-97 

5' 



163 
22.1019 

3^-151 
2.2039 



2^-3-5-17 

7- 1 1 -53 
2-13-157 
3-1361 
22.1021 

5-19-43 

2.33.227 

61-67 

23.7.73 

3-29-47 
2.5.409 



2.23-09 

3'-5-7-i3 
212 

17-241 

2.3-683 



22-52.41 



4100 
4150 



2^.5^.41 

3-1367 
2-7-293 

11-373 
23.33.19 

5-821 
2-2053 

3-37' 
22.13.79 

7-587 
2-3-5-137 



2^.257 

3^-457 

2.112.17 

5-823 
22.3.73 

23-179 
2.29.71 

3-1373 
23.5.103 

13-317 
2-32.229 

7-19-31 
22.1031 

3-5'-ii 
2.2063 

2 '-3-43 



2-5-7-59 

35.17 
22.1033 

2-3-13-53 

5-827 

23.11.47 

3.7.197 

2-2069 

22.32.5.23 

41.101 
2-19-109 

3-1381 
2^-7-37 
5.829 
2.3-691 
II. 13-29 
22.17.61 
32.461 
2 -5 '-83 



4150 
4200 



2-5^-83 

7-593 

23.3.173 



2-3 


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3-5- 


277 


22. 


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2^-5-13 
3-19-73 

2-208l 
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2-2083 

3^-463 

23.521 

11-379 
2-3-5-139 

43-97 
22.7.149 

3.13-107 
2-2087 
52-167 
2^-32.29 

2-2089 
3.7.199 
22.5. II. 19 

37-113 
2.3-17-41 
47-89 
23.523 

3'-5-3i 
2-7-13-23 

53-79 
2 '-3-349 
59-71 
2.5-419 

3.11.127 
2^-131 

7-599 
2-32.233 

5-839 
-2.1049 

3-1399 
2-2099 
13-17-19 

23.3-52.7 



136 



BROWN & SHARPE MFG. CO. 



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2-II-I9I 

3^-467 

22.1051 

5.292 

2.3.701 

7.601 

2^.263 

3.23.61 

2.5.421 



22.34.13 

11-383 
2-7'-43 
3-5-28I 
23.17.31 

2-3-I9-37 

22. 5. 211 



2.2111 
41.103 

2'7.3.II 

5'-i3' 
2.2113 
3.1409 
22.7. 151 

2-3'-5-47 



2^.23^ 

3-I7-83 
2.29.73 
5.7.112 

2 '•3-353 
19-223 
2. 13.163 

3'-i57 
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2.3.7.101 

22.1061 

3-5-283 
2. II. 193 

31-137 

23.32.59 

7.607 
2-5'-i7 



4250 
4300 



2.53.17 
3.13.109 
2 2 . 1063 

2.3.709 

5-23-37 
25.7.19 

3'-ii-43 
2.2129 

22.3.5.71 



2.2131 

3.72.29 

23.13.41 

5-853 
2.33.79 

17.251 
22.11.97 

3-1423 
2.5.7.61 



24.3.89 

2-2137 
32.52.19 

22.1069 

7-13-47 

2-3-23-31 

11.389 

23.5.107 

3-1427 
2-2141 



.32.7.17 



5-857 
2.2143 

3-1429 
26.67 



2-3-5-II-I3 

7.613 

22.29.37 

3'-53 

2-19-113 

5-859 

23.3.179 

2.7.307 

3- 1433 

22.c2.4c5 



4300 
4350 



2'-5'-43 
II. 17. 23 
2.32.239 

13-331 
2^.269 

3-5-7-41 

2-2153 

59-73 

2^-3-359 

31-139 

2-5-431 

3'-479 

23.72.11 

19.227 
2.3.719 
5-863 
22.13.83 

3-H39 

2. 17. 127 
7.617 

25.cj3.r 



29.149 
2.2161 
3. II. 131 

22.23.47 

5^-173 
2.3.7.103 

23.541 

3'-i3-37 

2-5-433 

61.71 
22.3.192 

7.619 
2. II. 197 

3-5-17' 

24.271 

2.32.241 



2^.5.7.31 

3-1447 
2. 13. 167 
43.101 
23.3.181 
5- 1 1-79 
2-41-53 
3'-7-23 
22.1087 

2-3-5'-29 



4350 
4400 



2.3.52.29 
19.229 

28.17 

3-1451 
2.7.311 

5-13-67 
22.32.112 

2.2179 

3-1453 
23.5.109 

72.89 

2-3-727 



2^.1091 

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2-37-59 

11-397 

24.3.7.13 

17-257 
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2-3-17-43 

41.107 

22.1097 

3. 7. II. 19 

2-5-439 



23.32.61 

23.191 

2.133 

3-5-293 

22.7.151 



2-3-733 

53-83 

2^-5'-ii 



4400 

4450 



24.52.11 

33.163 
2.31. 71 

7-17-37 
22.3.367 

5.881 

2-2203 

3-13-113 

23.19.29 

2-3'-5-7'* 

1 1. 401 
22.1103 

3-1471 
2.2207 

5-883 

26.3.23 

7.631 

2.472 

3'-49i 
22.5. 13.17 



2.3.11.67 



23.7.79 

3-5'-59 
2.2213 

19-233 

22.33.41 

43-103 
2-5-443 

3-7-2II 
24.277 
11-13.31 

2-3-739 

5.887 

22.1109 

32.17.29 

2.7.317 

23-193 

2^-3-5-37 



4450 
4500 



2.2221 

3-1481 
22.11.101 
5.7.127 
2.32.13.1C 



25.139 

3-1483 
2-5^-89 



2.52.89 

2'-3-7-53 
61-73 
2-17-131 
3^-5-11 

2^-557 

2-3-743 

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22.5.223 

3-1487 
2-23-97 

24.32.3V 

5-19-47 

2-7. 11-29 

3.1489 

22.1117 

41.109 

2.3.5-149 

17.263 
23.13.43 

3'-7-7i 
2.2237 

5'-i79 

2'-3-373 
112.37 

2.2239 

3-H93 

27.5.7 



2.33.83 

22.19.59 

3-5-13-23 

2-2243 

7.641 

23.3-11.17 

672 

2.5.449 

3 '-499 
22.1123 

2.3.7.107 

5-29-31 
24.281 

3-1499 

2-13-173 

11.409 

2''3'-5^ 



BROWN & SHARPE MFG. CO. 



137 



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22.32.53 

7-643 
2-2251 
3.19.79 
23.563 

5-I7-53 
2-3751 

22-V2.V3 

33.167 

2.5-11-41 

13-347 

25.3.47 

2-37-61 

3-5-7-43 
22.1129 



2.32.251 
23.5. 113 

3-II-I37 
2-7. 17-19 

22-3-13-29 

52.181 

2-31-73 

3 '-503 

24.283 

7.647 

2-3-5-I5I 

23-197 
2 2. 1 1. 103 

3-1511 
2-2267 

5-907 

23.34.7 

13-349 
2-2269 
3-17-89 

22.5.227 

19.239 

2-3-757 
7-11.59 
2*^-71 

3'-5-ioi 
2-2273 



4550 
4600 



2-5'-7-i3 

3-37-41 

23.569 

29-157 
2.32. II. 23 

5-9II 
22.17.67 

3-7'-3i 
2-43-53 
47-97 
24.3.5.19 



2.2201 
33.132 

22.7.163 

5-11-83 
2.3.761 



22.3.379 
2.52.7.13 



23.571 

3-1523 

2-5-457 

7-653 

22.32.127 

17-269 
2-2287 
3-5'-6i 

2^-1 1- 13 

23.199 

2.3.7.109 

19.241 

22.5.229 

3^-509 
2.29.79 



23.3.191 

5-7-I3I 
2.2293 

3-11-139 

22.31.37 

13-353 

2.33.5.17 



24.7.41 

2.2297 

5-919 



4600 

4650 



4650 

4700 



•3-383 



2. II''. 19 

3'-7-73 
23.52.23 



23-52.23 

43-107 

2-3-13-59 

22.1151 

3-5-307 

2.72.47 

17.271 
29.32 
11.419 
2-5-461 

3-29-53 

22.1153 

7-659 
2.3-769 

5-13-71 

2^-577 
35.19 

2-2309 

31-149 
22.3.5.7.11 



2-2311 

3-23-67 

24-172 

5^-37 
2.32.257 

7.661 
22.13.89 
3-1543 
2-5-463 

11.421 
23.3.193 
41. 113 

2-7-331 

3'-5-io3 

22.19.61 

2-3-773 
25.5.29 

3-7-13-17 
2. II. 211 

2 ^-3 ^'-43 
5-929 

2.23. lOI 

3-1549 

23.7.83 

2'3-5'-3i 



2-3-5'-3i 

22.1163 

3^-11-47 
2. 13.179 
5.72.19 
24.3.97 



2-17-137 

3-1553 

2'-5-233 

59-79 

2-3'-7-37 



2^-ii-53 

3-5-3II 

2-2333 

13-359 

2^-3-389 

7.23.29 

2.5.467 



•173 
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2-3-19-41 
52. II. 17 

22.7.167 

3-1559 
2-2339 



23-3^-5.13 

31-151 
2.2341 

3-7-223 
22.1171 

5-937 

2.3.11.71 

43.109 

24.293 

3'-52i 

2-5-7-67 



2^.3.17.23 
13.192 

2-2347 
3-5-313 
23.587 
7. II. 61 
2.34.29 

37-127 
22.52.47 



4700 
4750 



22.52.47 

3-1567 
2-2351 

25.3.72 

5-941 
2. 13. 181 

3'-523 
2 2. 1 1. 107 

17.277 
2-3-5-157 

7-673 
23.19.31 

3-1571 

2-2357 

5-23-41 
22.32.131 

53-89 
2-7-337 

3-112. 13 

2*-5-59 



2-3-787 



22.1181 

3'-5'-7 

2-17-139 

29.163 

23.3.197 



2.5.11.43 

3-19-83 

22.7.132 



2.32.263 

5-947 

2^-37 

3-1579 

2.23.103 



7-677 



22. 



3-5-79 



11.431 
2.2371 
32.17.31 

2 '-593 

5-13-73 

2-3-7-113 

47-101 

22.1187 

3-1583 
2.53.19 



4750 
4800 



2-5-19 

24.33.11 

72.97 

2-2377 

3-5-317 

22.29.41 

67.71 

2-3-13-61 



23-5-7-17 

32.232 

2.2381 

11-433 

2'-3-397 

5-953 

2-2383 

3.7.227 

25.149 

19.251 

2-3'-5-53 

13-367 
22.1193 

3-37-43 

2.7.11.31 

52.191 

23.3.199 

17.281 

2-2389 

3^-59 
22.5.239 

7-683 
2-3-797 



24.13.23 

3-5-11-29 
2.2393 

22.32.7.19 

2-5-479 

3-1597 
23.599 

2.3.17-47 

5-7-137 
22.1 1- 109 

37-13-41 
2.2399 

2«-3:5^ 



138 



BROWN & SHARPE MFG. CO. 



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4850 



2.7^ 

3.1601 

22.1201 

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2.33.89 

11-19.23 

2^.601 

3.7.229 

2-5-i3-37 

17.283 
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2.29.83 
32.5.107 

2^-7-43 

2.3. II. 73 

61.79 

22.5.241 

3.1607 
2.2411 

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23.32.67 

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2.19-127 

3-1609 

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11-439 
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2-151 
33.179 

2.2417 

5-967 
22.3. 13.31 

7-691 

2.41-59 

3-1613 

23-5-112 

47-103 
2-32.269 
29.167 
22.7.173 

3-5-17-19 

2-2423 

37-131 
2*.3-IOI 

13-373 

2-5^-97 



4850 
4900 



2.5^.97 
32.72.11 

22.1213 

23-211 

2.3.809 

5-971 

23.607 
3.1619 
2-7-347 

43-113 

22.35.5 



2-11.13-17 

3.1621 

28.19 

5-7-139 
2.3-811 

31-157 

22-1217 

3'-54i 

2-5-487 



23.3.7.29 

11-443 
2-2437 

3-5'-i3 
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2-32.271 
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2^-5-61 

3-1627 

2-2441 

19-257 

2--3-II-37 

5-977 

2-7-349 

33.181 

23.13.47 

2-3-5-163 

67-73 

22.1223 

3-7-233 
2-2447 
5. 11.89 

25.32.17 

59-83 
2.31.79 

3-23-71 

2^-5^-7^ 



4900 
4950 



22.52.72 

132.29 

2-3-19-43 

23.613 

32.5.109 

2-11-223 

7-701 

22.3-409 

2.5-491 

3-1637 
2 '^-307 
173 
2.33.7-13 

5-983 
22.1229 
3.11.149 
2.2459 



23.3.5.41 

7.19.37 
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3^-547 
22-1231 

5'-i97 
2-3-821 

13-379 
26. 7. II 

3-31-53 
2.5.17.29 



2^.3^,137 

2.2467 

3-5-7-47 
23.617 



2.3.823 
11.449 
22.5.13.19 

34-61 
2-7-353 



2^.3.103 
5-23-43 
2-2473 
3.17-97 

22.1237 
72.101 
2-32.52. II 



4950 
5000 



23.619 
3-13-127 

2-2477 

5-991 

2'-3-7-59 

2.37.67 
32.19.29 

2-^-5-3i 

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2.3.827 

7.709 

22.17.73 

3-5-331 
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2.5.7.71 

3-1657 
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2-3.829 

5'-i99 
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3'-7-79 
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13-383 

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17-293 
2-47-53 
3-11-151 
23.7-89 

5-997 
2.32.277 



2^.29.43 

3.1663 

2-5-499 

7-23-31 
2^-3-13 



2. II. 227 

3'-5-37 
22.1249 
19-263 
2.3.72.17 



5000 
5050 



23.54 

3.1667 

2.41.61 

22.32.139 

5.7.11.13 

2.2503 

3.1669 

2*-3i3 



2.3.5.167 



22.7.179 

3'-557 
2.23.109 

5-17-59 
23.3. II. 19 

29-173 

2-13-193 

3-7-239 

22.5.251 



2-3*-3i 



2^-157 

3-5^-67 

2-7-359 

11-457 

22.3.419 

47.107 
2-5-503 

3'-i3-43 
23.17.37 

7.719 
2-3-839 
5-19-53 
22.1259 

3-23-73 
2. II. 229 

2^-3 ^'•5-7 

712 
2-2521 

3-41' 
22.13.97 

5-1009 
2.3.292 
72.103 
23.631 
33.21.17 

2.52. lOI 



5050 
5100 



2.5''.IOI 

22.3.421 
31-163 

2.7-192 

3-5-337 

26.79 

13-389 

2.32.281 



22.5.11.23 

3-7-241 

2-2531 
61.83 

23. 3. 211 

5-IOI3 

2. 17. 149 

3^-563 

22.7. 181 

37-137 
2-3-5-13' 

II.461 
24.317 
3.19.89 

2-43-59 

52.7.29 
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2-2539 
3-1693 

23.5.127 



2.3.7.112 

13-17-23 
22.31.41 

3'-5-ii3 
2-2543 

2^-3-53 

7-727 
2-5-509 

3.1697 

22.19.67 

11.463 

2.32.283 

5.1019 

23.72.13 

3.1699 

2-2549 

2'^-3-5--i7 



BROWN & SHARPE MFG. CO. 



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5100 
5150 



22.3.5-^.17 

2-2551 
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2*. II. 29 
5.1021 
2-3-23'37 

22.1277 
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19.269 

23.32.71 

2-2557 

3-5-II-3I 

22.1279 

7-17-43 
2-3-853 

3 '-569 
2.13.197 
47.109 
22.3.7.61 

5'-4i 

2-11-233 

3.1709 

2^.641 

23.223 

2.33.5.19 

7-733 

22.1283 

3-29-59 
2.17.151 

5-13-79 

2'i.3.io7 

11-467 

2.7.367 

3 '-57 1 

2'-5-257 

53-97 
2-3-857 
37-139 
23.643 

3-5-7' 
2-31-83 



19.271 
2-52.103 



5150 
5200 



2.5-.I03 
3-17. lOI 

25.7.23 

2-3-859 
5.1031 
22.1289 
33.191 

2-2579 
7.11.67 

2^-3-5-43 

13-397 
2-29-89 
3-1721 
22.1291 

5-1033 
2.32.7.41 

24.17.19 

3-1723 

2.5. 11.47 



2^.3.431 

7-739 
2. 13.199 

3'-5'-23 
23.647 
31.167 
2-3.863 



2'-5-7-37 

3-11-157 
2-2591 

71-73 
26.34 

5.17.61 
2-2593 
3-7-^3-19 
22.1297 

2-3-5-173 

29.179 
23.11.59 

3'-577 
2-7'-53 
5-1039 
2'-3-433 



2-23-113 
3-1733 

2"^. 52. 13 



5200 
5250 



24.52.13 

7-743 

2.32.172 

"'-43 
22.1301 

3-5-347 
2. 19.137 
41.127 
23.3.7.31 

2.5.521 

3'-i93 
22.1303 
13.401 
2-3-11-79 

5-7-149 
2^.163 

3-37-47 
2-2609 

17-307 
22.32.5.29 

23.227 

2-7-373 

3-1741 

23.653 

52. II. 19 

2.3.13.67 

22.1307 

3^-7-83 
2-5-523 



2^.3.109 

2-2617 

3-5-349 

22. 7. II. 17 

2.33.97 

13^-31 

23.5.131 

3-1747 

2.2621 

72.107 

22.3.19.23 

5-1049 

2.43-61 

3'-"-53 

2^.41 

29.181 

2-3-5''-7 



5250 
5300 



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22.13.101 
3.17. 103 

37-71 
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751 

11.239 

3-1753 
22.5.263 



2-3-877 
19.277 

2^-7-47 
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2-2633 
23.229 

2'-3-439 

11-479 

2.5-17-31 

3-7-251 
23.659 

2.32.293 

52.211 
22.1319 

3-1759 
2-7-13-29 

25.3.5. II 



2-19-139 

3^-587 
22.1321 

5-7-151 

2.3.881 

17-311 

23.661 

3-41-43 

2-5-23' 

11-13-37 

22.33.72 

67-79 

2-2647 
3-5-353 
2'-33i 



2-3.883 

7-757 

22.c2.r- 



5300 
5350 



2"-5'-53 
32.19.31 

2.11.241 

23.3.13.17 

5.1061 

2.7.379 

3-29-61 

22.1327 

2-3'-5-59 

47-113 

26.83 
3.7.11.23 
2-2657 
5-1063 

2 '-3-443 

13.409 

2-2659 

33.197 

23.5.7.19 

17-313 

2-3-887 

22.II3 

3-5'-7i 
2.2663 
7-761 
24.32.37 

73' 
2.5.13.41 

3-^777 
22.31.43 

2.3.7.127 

5- 1 1-97 
23.23-29 

3'-593 

2-17.157 

19-281 

22.3.5.89 



72.109 
2.2671 

3-13-137 
25.167 
5.1069 
2.35. II 



22.7. 191 

3-1783 
2.52.107 



5350 
5400 



2.52.107 

23.3.223 

53-101 

2.2677 

3'-5-7-i7 
22.13.103 
11.487 
2.3.19.47 

23-233 
24.5.67 

3.1787 
2-7-383 

31-173 
22.32.149 

5-29-37 
2.2683 
3-1789 

23. II. 61 

7-13-59 

2-3-5-179 

41. 131 
22.17.79 
33.199 
2.2687 

5 '-43 

28.3.7 

19.283 
2.2689 
3-11-163 
22.5.269 



2.3^.13.23 

7.769 

23.673 

3-5-359 
2-2693 

22.3.449 

17-317 
2. 5. 72. II 



3' -599 
2^-337 

2-3-29-31 

5-13-83 
22.19-71 

3-7-257 
2-2699 



23-33-5^ 



I40 



BROWN & SHARPE MFG. CO. 



From 
To 



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5450 



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1 1. 491 

2-37-73 

3-1801 

22.7.193 

5-23-47 
2-3-17-53 



2^-13^ 
32.601 
2-5-541 

7-773 
22.3.11.4] 

2-2707 

3-5-19' 
23.677 



22.5.271 

3-13-139 
2-2711 
11-17-29 
2^.3.113 

5^-7-31 

2-2713 

3^.67 

22.23.59 

61-89 

2-3.5-181 



2^-7-97 

3.1811 

2-11-13-19 

5-1087 

22.32.151 

2-2719 

3-7^-37 

26.5.17 



2.3.907 
2-1361 



5450 
5500 



2' 

3'-5-ii^ 
2-7-389 

13-419 

23.3.227 



2-52.109 

3-23-79" 

22.29.47 

7. 19.41 

2-33.101 

5.1091 

2^-11-31 

3-17-107 

2-2729 

53-103 

2^-3-5-7- 

43-127 

2-2731 

32.607 

2^.683 

5-1093 

2-3-911 

7. II. 71 

22.1367 

3-1823 

2-5-547 



13 



2^.3^.19 

13-421 

2-7-17.23 

3-5'-73 

22.372 



2-3-11-83 
23.5.137 

33.7.29 
2.2741 



2^-3-457 

5.1097 

2-13-211 

3-31-59 

2^-73 

11-499 
2-32.5.61 

172.19 

2'-i373 

3-1831 

2.41.67 

5-7-157 
23.3.229 

23-239 

2-2749 

3'-i3-47 
22.53.11 



5500 
5550 



22.53.11 

2.3.7. 131 

2^-43 

3-5-367 

2-27-53 



22.3^.17 

7.787 

2-5-19-29 

3.11.167 

2^-13-53 

37- 149 

2.3.919 

5*1103 

22.7.197 

32.613 

2.31.89 



2^-3-5-23 



2-11.251 

3-7-263 

22.1381 

5'-i3-i7 
2.32.307 



23.691 

3-19-97 

2-5-7-79 



22.3.461 

11-503 

2-2767 

3'-5-4i 
25.173 

7^-113 

2-3.13-71 

29-191 

22.5.277 

3-1847 
2-17.163 
23.241 
23.32.7.1 

5- 1 109 

2-47-59 

3-43' 
22.19.73 

31-179 

2-3-5'-37 



5550 
5600 



2-3-5'-37 
7. 13-61 

2^-347 
32.617 

2-2777 
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-'-3-463 



2.7-397 

3-17-109 

23.5.139 

67-83 
2-33.103 

22.13.107 

3-5-7-53 
2-112.23 
19.293 
26.3.29 



2-5-557 

32.619 
22.7.199 



2.3.929 

5'-223 

23.17.41 

3-11. 132 

2.2789 

7-797 

22-3'-5-3i 



2.2791 
3.1861 

2^-349 
5.1117 
2.3.72.19 

37-151 
22. II. 127 

3'-23 
2-5-13-43 



2^-3-233 

7.17.47 

2-2797 

3-5-373 
22.1399 

29.193 

2-3'-3ii 
11.509 

2-^-5'-7 



5600 
5650 



25.52.7 
3-1867 
2-2801 

13-431 
22.3.467 

5-19-59 

2-2803 

32.7.89 

23.701 

71.79 

2.3.5. II. 17 

31. 181 

22.23.61 

3-1871 

2-7-401 

5-1123 

24.33.13 

41-137 

2-53' 

3-1873 

22.5.281 

7.11.73 
2-3-937 



2^.19.37 

3'-5^ 
2.29.97 

17-331 
22.3.7.67 

13-433 
2-5-563 

3-1877 

2^.11 
43-131 

2-3'-3i3 

5-7'-23 
22.1409 

3-1879 
2.2819 



2^-3-5-47 



2-7-13-31 
33. II. 19 

22.17.83 

5. 1 129 

2.3.941 

2^-353 
3-7-269 

2-5'-"3 



5650 
5700 



2.5^-113 

22.32.157 

2-11.257 

3-5-13-29 
23.7. lOI 

2.3.23.41 

2 2. '5. 283 ' 

3'-i7-37 
2- 19- 149 
7-809 

2 '-3-59 
5. 1 1. 103 
2-2833 
3.1889 
22.13.109 



2-3^-5-7 

53-107 
23.709 

3-31-61 

2-2837 

52.227 

22.3.11.43 

7.811 

2-17-167 

3'-63i 

2^.5.71 

13.19.23 
2-3-947 



22.72.29 

3-5-379 
2-2843 

"•47 
l'-79 



II 



2-5-569 

3-7-271 
22.1423 

2-3-13-73 

5-17-67 

26.89 

33.211 

2-7-11-37 

41-139 

2 '-3-5' -19 



BROWN & SHARPE MFG. CO. 



141 



From 
To 



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5750 



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22.3.52.19 

2'285'l 

3-1901 

23.23.31 

5-7-I63 

2-3'-3i7 

13-439 

2^.1427 

3-II-I73 

2-5-57I 



2^.3.7.17 
29-197 

2.2857 

3'-5-i27 
22.1429 

2-3-953 
7.19.43 
23. 5. II. 13 

3.1907 

2.2861 

59-97 

2^-3^-53 

52.229 

2.7.409 

3-23-83 
25.179 

17-337 
2.3.5. 191 

II. 521 
2--I433 

3^-7^-13 
2.47.61 

5-31-37 
23.3.239 

2.19.151 

3-1913 
22.5.7.41 



2.32. 11.29 



2 '-359 
3-5-383 
2. 132. 17 

7.821 
22.3.479 



2.53.23 

3-^-71 
23.719 

11.523 
2-3-7-137 
5-1151 
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3.19.101 
2.2879 
13-443 
2'-3'-5 , 

7.823 
2.43.67 

3-17-113 
22. II. 131 

5-1153 

2-3-31' 

73-79 

23.7.103 

32.641 

2-5-577 

29.199 
22-3-I3-37 
23-251 
2.2887 

3-5'-7-ii 
2^.192 

53-109 
2.33.107 

22.5V172" 

3-41-47 
2-7'-59 

23.3.241 

5-13-89 
2-11.263 

3^-643 
22.1447 

7.827 
2-3-5-193 



5800 
5850 



5850 
5900 



23.5^.29 



2^.I«I 

3-I93I 
2.2897 
5. 19.61 
22.32.7.23 
II. 17.31 
2-13-223 

3-1933 

23.52.29 



2.3.967 

7-829 
22.1451 

3'-5-43 
2-2903 



24. 3. 1x2 

37-157 
2-5-7-83 

3-I3-I49 

2'-i453 

2.32. 17.19 
5-1163 

23.727 

3-7-277 
2.2909 
11.232 

2^-3-5-97 



2.41. 71 

3-647 
2^.7.13 

5^-233 
2-3-971 

22.31.47 

3-29-67 

2-5-II-53 

73.17 
23.36 

19-307 
2-2917 

3-5-389 
22.1459 

13-449 
2-3-7-139 

2'*-5-73 

3^-"-59 

2.23.127 

22:3.487* 

5.7.167 

2.37.79 

3-1949 
23.17.43 

2-3'-5'-i3 



2-3'-5'-i3 



22. 7. II. 19 

3-1951 

2-2927 
5-1171 
25.3.61 



2. 29.101 

3'-7-3i 

2--5-293 



2-3-977 
II. 13.41 

2^-733 

3-5-I7-23 

2.7.419 

22.32.163 

2-5-587* 

3. 19. 103 
2^.367 

7-839 
2.3.11.89 

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22. 13. 113 

3-653 
2.2939 

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2-17-173 

3-37-53 

22.1471 

5. II. 107 
2.33.109 
7.292 

28.23 

3-13-151 
2.5.19.31 

43-137 
22.3.491 

71.83 
2.7.421 



5900 
5950 



5950 
6000 



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131 
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2.3.983 

17-347 
22.52.59 



2'-5'-59 

3.7.281 

2.13.227 



24.32.41 
5.1181 

2-2953 
3.11.179 
22. 7. 211 
19.311 
2-3-5-197 

23-257 
23.739 

3^-73 

2-2957 

5-7-13' 
22.3.17.29 

61.97 
2. II. 269 
3-1973 

2^-5-37 

31. 191 
2.32.7.47 

22.1481 
3-5-79 



2.2963 



23.3.13.19 
72.112 

2-5-593 



3'-659 
22.1483 

17-349 

2-3-23-43 

5.1187 

2^-7-53 
3-1979 
2-2969 

22.33.5.1] 

13-457 
2.2971 
3-7-283 

2'-743 
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2.3.991 

19-313 

22.1487 

32.661 

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2.5^.7.17 
II. 541 
26.3.31 

2.13.229 

3-5-397 
22.1489 

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59.101 
23.5.149 

3.1987 
2. II. 271 
67.89 
22.3.7.71 

5- I 193 

2-19-157 

3'-i3-i7 

2^-373 

47.127 

2-3-5-199 

7-853 
22.1493 
3.11.181 
2.29.103 

5'-239 
23.32.83 

43-139 
2.72.61 

3-1993 
22.5-13-23 



2-3-997 
31-193 

25.II.I7 

3'-5-7-i9 
2-41-73 

22.3.499 

53- "3 
2-5-599 

3-1997 

23.7-107 

13-461 

2-3'-37 
5- 1 1- 109 
'22.1499 

3-1999 
2-2999 

7-857 
2^-3-5^ 



142 



BROWN & SHARPE MFG. CO. 



From 
To 



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50 1 100 



6000 
6050 



17-353 
2-3001 
32.23.29 
22.19.79 

5-I20I 

2-3-7-II-I3 

23.751 
3.2003 
2.5.601 



22.32.167 

7-859 
2.31.97 

3-5-401 

2^-47 

11-547 

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13-463 

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33.223 
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2.32.5.67 

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2' -3-503 

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2.3.1009 

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2-3037 

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3.76. 
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22.1523 
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2.3049 

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6100 
6150 



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2.3.1019 

5'1223 
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3-2039 

2.7.19.23 

29.211 

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2.3061 

3-13-157 
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11-557 
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22-3-7-73 

2.3067 

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17.192 
2.32.11. 

7.877 



31 



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211.3* 
5.1229 

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22.29.53 

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2-3-5'^4i 



6150 
6200 



2.3.5^.41 



23.769 

3-7-293 
2. 17. 181 

5-1231 
22.34.19 

47-131 
2.3079 

3-2053 

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61.101 
2-3-13-79 



22.23.67 

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31-199 
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3-11-17 
2 '•1543 

5'-i3-i9 
25.193 

3.29.71 

2.3089 

37.167 

2'-3-5-i03 



7-««3 

2.11-281 

33.229 

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3.2063 

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2^-3^-43 
11-563 
2. 19.163 

3-5-7-59 
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2-3-1033 



■5^-31 



6200 
6250 



2'-5'-3i 
3'^i3-53 

2-7-443 

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5-17-73 

2.29.107 

3-2069 

26.97 

7.887 

2.33.5.23 



2^-1553 
3. 19. 109 
2.13.239 
5. II. 113 

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2-3109 
32.691 

22.5.311 



2.3.17.61 

72.127 
24.389 

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2. II. 283 

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22.32.173 

2.5.7.89 

3-31-67 
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23.271 

2-3-1039 

5-29-43 

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34.7.11 

2-3119 
17.367 

2^-3-5-13 

792 

2.3121 

3-2081 

22.7.223 

5-1249 

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23. II. 71 
3-2083 

2-5-^ 



6250 
6300 



2.55 
7.19.47 

22.3.521 

i3'-37 
2-53-59 
3'-5-i39 
24.17.23 

2.3.7.149 

11.569 

2^-5-313 

3.2087 
2.31. lOI 



23.33.29 
5.7.179 
2. 13.241 
3-2089 
22.1567 



2.3.5.11.19 



2^.72 

32.17.41 

2-3137 

52-251 

22-3-523 



2-43-73 

3-7-13-23 

23.5.157 

11.571 

2-32-349 
61.103 

22.1571 

3-5-419 
2-7-449 



24.3.131 

19-331 

2-5-17-37 

3'^-233 
22.112.13 

7.29.31 
2.3.1049 

5-1259 
23.787 

3-2099 
2.47.67 

2 2-3'2-5'2'-7 



BROWN & SHARPE MFG. CO, 



143 



From 
To 



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I 
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5 
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50 
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89 
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100 



6300 
6350 



2.23.137 
3.11.191 
25.197 

5-I3-97 
2.3-1051 

7- 17-53 
22.19.83 
32.701 
2.5.631 



23.3.263 

59.107 

2.7.11-41 

3-5-42I 
22.1579 



2.35.13 

71.89 

2^.5.79 

3-7'-43 
2.29.109 



22.3.17.31 

52.11.23 

2*3163 

3'- 19-37 
23.7.113 



2.3-5-211 

13-487 
2^-1583 
3.2111 
2.3167 

5.7-181 
26.32.j1 

2.3169 
3-2113 
2^-5-317 

17-373 
2.3.7.151 

2^.13.61 

3-'-5-47 
2.19-167 

11-577 
22.3.232 

7.907 

2-52.127 



6350 
6400 



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3-29-73 
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3'-353 
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II. 172 



2"*-3-5-53 



2.3181 

32.7. lOI 

2^-37-43 

5.19.67 

2.3.1061 



25.199 

3-II-I93 

2.5.72.13 

23-277 



2-3187 

3-5'-i7 
2 3-797 

7-911 

2-3-1063 



22.5. 11-29 

32.709 
2-3191 

13-491 
24-3-7-19 

5-1277 
2-31-103 
3-2129 
22.1597 

2-3'-5-7i 



7-1] 

23.] 



-83 

7-47 
3-2131 
2.23-139 
5-1279 
22.3.13.41 

2-7-457 

3'-79 

28.(^2 



6400 
6450 



28.5j2 

37-173 
2.3.II-97 

19-337 
22-160I 

3-5-7-61 
2.3203 

43-149 

23.32.89 

13.17.29 
2.5.641 

3-2137 

22.7.229 

11^-53 
2.3.1069 
5-1283 
24.401 

3^-23-31 
2.3209 
72.131 
22.3.5.107 



2. 132. 19 

3.2141 

23.11-73 

5^-257 
2-33.7.17 

22.1607 

3-2143 

2-5-643 

59.109 
25.3.67 
7-919 

2-3217 

3^-5-ii-i3 
22.1609 

41-157 
2-3-29-37 

47-137 

23.5.7.23 

3-I9-IT3 
2-3221 

17-379 

22.32.179 

5-1289 

2-1 1-293 

3-7-307 
24.13.31 

2-3-5 '-43 



6450 
6500 



2-3-5'-43 

22.1613 

33.239 

2-7-461 

5.1291 

23.3.269 

11-587 

2-3229 

3-2153 

22.5. 17.19 

7-13-71 
2-3'-359 
23.281 
36-101 

3-5-431 
2-53-61 
29-223 

22.3.72.11 

2-5-647 

3^-719 
23.809 

2-3-I3-83 

5'-7-37 

22.1619 

3.17.127 

2.41.79 

II. 19.31 

2^-3*-5 



2-7-463 

3-2i6i 

22.1621 

5-1297 

2-3-23-47 

13-499 

23.811 

32.7.103 

2-5. 11-59 



2"-3-54i 

43-151 

2-17-191 

3-5-433 
25-7-29 

73-89 
2-32-192 

67-97 

22.53.13 



6500 
6550 



2^.5^.13 
3.11.197 
2-3251 
7-929 

23.3.271 

5- 1 30 1 

2-3253 

33.241 

22.1627 

23-283 

2-3-5-7-31 

17-383 
24.11.37 

3.13-167 

2-3257 

5-1303 

22-32.181 
73.19 

2-3259 
3-41-53 
23.5.163 



2-3-1087 

11-593 

22.7.233 



^3-25^ 
■ 107 

•3-17 



2-5-653 

3-7-311 
22-23-71 

47-139 

2-33. ii2 

5-1307 
23.19.43 

3-2179 

2-7-467 

13-503 
22-3-5.109 

31-211 
2-3271 

3'-727 
2^-409 

5-7-11-17 
2-3.1091 

22.1637 
3-37-59 
2-5'-i3i 



6550 
6600 



2-5'*i3i 
23.32.7.13 

2-29.113 

3-5-19-23 
2 2. 1 1. 149 

79-83 
2-3-1093 

7-937 
25-5.41 



7-193 



2^-3-547 
5-13-101 
2-72.67 
3-11-199 

23-821 

2-3'-5-73 



2-31-53 
3-7-313 
2-19-173 
5^-263 

2^-3-137 



2-11- 

3' 



3-23 
17-43 



2^.5-7-47 



2.3-1097 

29-227 

23.823 

3-5-439 
2-37-89 
7-941 
22-33.61 

11-599 
2-5-659 

3-13' 
26-103 

19-347 

2-3-7-157 

5-1319 

22.17.97 

3 -'-733 
2-3299 



li^ 



144 



BROWN & SHARPE MFG. CO. 



From 


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65 


i6 


66 


17 


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i8 


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22 


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100 



6600 
6650 



6650 
6700 



6700 

6750 



6750 
6800 



6800 
6850 



6850 

6900 



2^.3.5-. II 

7-23-4I 
2.3301 

3-3I-7I 
22.13.127 

5-1321 
2.32.367 

24.7.59 

3.2203 

2.5.661 

1 1. 601 
22.3.19.29 

17.389 
2-3307 

3'-5-7' 
23.827 

13-509 
2.3. I 103 

22-5-331 

3-2207 
2. 7. 11.43 

37-179 
2.5.32.23 

5'-53 
2-3313 
3-472 
22.1657 

7-947 
2-3-5-I3-I7 

19-349 
2^.829 
32.11-67 
2.31. 107 

5-1327 
22.3.7.79 

2-3319 
3-2213 

2*-5-83 

29.229 
2.34.41 

7-13-73 

22. II. 151 

3-5-443 

2-3323 

17^-23 

2^.3.277 

61.109 

2-52-7-19 



2-5^.7.19 

3'-739 
22.1663 



-67 



2.3.1117 



2-3.1109 

5.11^ 

29.13 

3-7-317 
2-3329 



24.419 

3'-5-i49 

2-7-479 

19-353 

22-3-13-43 



22-32-5-37 



2-3331 
3.2221 

23.72.17 

5-31-43 
2.3.11-101 

59-113 
22.1667 
33.13.19 
2.5.23.29 

7-953 
24.3.139 

2-47-71 
3-52-89 
22.1669 
11.607 

2-3'-7-53 

23.5.167 



3-17-131 
2.13.257 
41.163 

22-3-557 
5.7.191 

2-3343 
3'-743 
2^.11-19 

2-3-5-223 



2-7-239 

3-23-97 

2-3347 

5-13-103 

23.33.31 

37.181 
2. 17. 197 

3-7-11-29 

22.52.67 



2.5.11.61 

3-2237 
23.839 

7'-i37 

2-3'-373 

5.17.79 

22.23.73 

3.2239 

2-3359 

2^-3-5-7 

II. 13.47 
2.3361 

22.412 
52.269 

2-3-19-59 

7.312 

23.292 
3-2243 
2-5-673 

53-127 
22.32.11. 17 

2-7-13-37 
3-5-449 

24.421 

2-3-1123 

23-293 

22-5-337 

32.7.107 

2-3371 

II. 613 

23.3.281 

5. 19.71 

2-3373 

3-13-173 

22.7.241 

17-397 
2-3^-5^ 



2.33.53 

43-157 
2^.211 

3-2251 
2. 1 1.307 

5-7-193 
22-3-563 
29-233 
2.31. 109 

3^-751 
23.5.132 



2.3.72.23 



3.5.11.41 
2. 17. 199 
67-101 
24.32.47 

7-967 
2.5.677 

3-37-61 
22.1693 
13-521 
2.3-1129 

52.271 
23.7.112 

3'-25i 
2-3389 



2^-3-5-113 



2-3391 

3-7-17-19 

2'-53 

5-23-59 

2-32.13.29 

11-617 

22.1697 

3-31-73 

2-5-7-97 



2*-5^-i7 

3-2267 

2-19-179 

2 2.'3^V7" 

5-1361 
2.41.83 
3.2269 
23.23.37 

11-619 

2-3-5-227 

7'-i39 
22-13. 131 

3'-757 
2.3407 

5-29-47 
2^.3.71 
17.401 
2.7.487 

3-2273 
22.5-11-31 

19-359 
2-32-379 

23.853 ■■■ 

3-52-7-13 

2-3413 

22-3-569 

2-5-683' 

33.11.23 
24.7.61 



2-52-137 

13-17-31 

22-3-571 

7-11-89 

2-23-149 

3-5-457 
23.857 

2.33.127 
193 

22.5.73 

3-2287 
2-47-73 

24.3.11.13 

5-1373 
2-3433 
32.7.109 
22.17.101 

2.3.5.229 



23.859 

3-29-79 
2.7.491 



5*- 
22.32.191 

13-23^ 
2. 19. 181 

3-2293 

2^-5-43 

7-983 
2-3-31-37 



2.3.17.67 

5-1367 
22.1709 

3-43-53 
2-13-263 

7-977 
23.32.5.19 



23.3.283 

2.43.79 

3'-5-i5i 

22.1699 

7.971 

2-3.11.103 

13-523 

2^-52-17 



2. II. 311 

3.2281 

22.29.59 

5-372 

2.3.7.163 

41.167 

26.107 

32.761 

2-52-137 



22.1721 

3'-5-i7 

2-11-313 

71-97 

23.3.7.41 

83^ 
2-5-13-53 

3-2297 

22-1723 
61-113 

2-3'-383 
5-7-197 

24.431 

3-112-19 

2-3449 

22.3.52.23 



BROWN & SHARPE MFG. CO. 



145 



From 
To 



6900 
6950 



6950 
7000 



7000 
7050 



7050 
7100 



7100 
7150 



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7200 



o 

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5 
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7 
8 

9 
10 

II 
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35 
26 

27 
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50 
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81 
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83 
84 
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86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 

97 

98 

99 

100 



2^.3.5^.23 

67.103 

2.7'i7.29 

3'-i3-59 
23.863 

5-1381 
2.3.1151 

22. II. 157 

3-7'-47 
2.5.691 



2.5^.139 
3-7-33I 

23.11-79 

17.409 
2.3. 19-61 
5. 13. 107 

22.37.47 

3'-773 
2.72.71 

24.3.5.29 



2».3^ 

31.223 
2-3457 
3-5-461 
22.7. 13.19 



2-59' 
3. II. 211 
22.1741 
5.7.199 

2-3*-43 



2-3-II53 
II. 17.37 

2'-5-i73 

32.769 

2.3461 

7-23-43 

22-3-577 

5'-277 

2-3463 

3.2309 

2^-433 

i3'-4i 
2.32.5.7.11 

29-239 
22.1733 

3-2311 
2.3467 

5-19-73 
23.3.172 

7.991 

2.3469 

3'-257 
2'-5-347 

11.631 
2.3.13-89 

53-131 
25.7.31 

3-5-463 
2-23.151 

22.32.193 
2-5'-i39 



23.13.67 
3.23. lOI 
2-5-17-41 



22.3.7.83 

19.367 

2-11-317 

32-52-3I 

2^.109 



2-3-1163 
7.997 

2 '-5-349 

3-13-179 
2-3491 

23.32.97 
5.11.127 
2-7-499 
3-17-137 

22.1747 

29.241 
2-3-5-233 



2^.19.23 

3'-7-37 
2.13.269 

5-1399 
22-3-II-53 

3-3499 
3-2333 

23.53.7 



23.53.7 

2.32.389 ■ 

47.149 

22.17.103 

3-5-467 
2.31. 113 
72. II. 13 

2'-3-73 
43-163 
2.5.701 

3.19.41 

2'-i753 

2.3.7.167 
5-23-61 

23.877 

3-2339 
2. 112.29 



2-3-5'-47 

11-641 

22.41.43 

3-2351 

2-3527 
5-17-83 



2-3529 
3.13.181 

2'-5-353 

23.307 
2. 3. II. 107 
7.1009 
23.883 
3'-5-i57 
2-3533 
37-191 
'3-I9-3I 



22.52.71 

33.263 

2-53-67 

26.3.37 
5.72.29 
2. II. 17-19 

3-23-103 

22.1777 



2.5^.11.13 

24.3.149 

23-311 

2.72.73 

3'-5-53 
22.1789 
17.421 
2-3-1193 



2.. 



2'-3^-5-i3 

7-17-59 

2-3511 

3-2341 

2^-439 

52.281 

2.3.1171 



.2.7.251 
•1171 



2' 

2-5-19-37 



2.5.7.101 

3-2357 

2^-13-17 

11.643 

2.33. 131 

5^-283 

22.29-61 

3-7-337 

2-3539 



2-3'-5-79 

13-547 
23.7.127 

3-2371 

2-3557 

5-1423 

2'-3-593 

11.647 

2-3559 

3'-7-ii3 

24.5.89 



2.3.1187 

17.419 

22.13.137 

3-5'-i9 
2-7-509 



23.3.179 

3.7.11.31 
2-3581 
13.19.29 
22.32.199 

5-1433 

2-3583 

3-2389 

210.7 

67.107 

2-3-5-239 

71.101 
22. II. 163 

3'-797 
2. 17. 211 

5^-7-41 
23.3.13.23 



79-89 
23.3.293 

13-541 
2-3517 
3-5-7-67 
22.1759 

31.227 
2.32.17.23 

2 '-5. 1 1 

3-2347 
2-7-503 

2^-3-587 " 

5-1409 

2-13-271 

35.29 

23-881 

7-19-53 

2-3-5'-47 



2"*-3-5-59 

73-97 

2-3541 

32.787 

22. 7. II. 23 

5- 13. 109 

2-3-1181 

19-373 

2^-443 

3-17-139 

2-5-709 



1013 



7- 
22.32.197 

41-173 
2-3547 
3-5-II-43 

23.887 

47-151 
2.3.7.132 

31-229 

22.52.71 



23.34.11 

2-5-23-31 

3-2377 
22.1783 
7.1019 
2.3.29.41 

5-1427 
25.223 
32.13.61 

2-43-83 
112.59 

22.3.5.7.17 

37-193 

2-3571 
3-2381 
23.19.47 

5-1429 

2-3'-397 

7-1021 

22.1787 

3-2383 
2-52-11. 13 



2-37-97 
3-2393 

2'-5-359 

43-167 
2-33.7.19 

11-653 
24.449 

3-5-479 
2-3593 

2^-3-599 

7.13.79 

2.5.719 



.17-47 
29-31 



2-3-11-109 

5-1439 

22.7.257 

3-2399 
2.59-61 

23-313 

2 '-3 '-5' 



146 



BROWN & SHARPE MFG. CO. 



From 
To 



o 

I 
2 
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5 
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35 
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30 

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38 
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41 
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43 
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45 
46 
47 
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50 
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61 
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71 
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77 
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81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 

97 

98 

99 

100 



7200 
7250 



19-379 

2.13.277 

3-7* 
22.1801 

5-II-I3I 

2-3.I20I 

2'-i7-53 

34.89 

2.5.7.103 



22.3.601 

2.3607 

3-5-I3-37 
24.11.41 
7. 103 1 
2.32.401 

22.5.192 

3-29-83 

2.23-157 

31-233 

2'-3-7-43 

52.172 

2.3613 

3'-ii-73 
22.13.139 

2.3.5.241 
7-1033 

26'II3 

3.2411 
2.3617 

5-H47 
22.33.67 



2.7.11.47 

3-19-127 

23.5.181 

13-557 
2-3-17-71 

22.1811 

3'-5-7-23 
2.3623 



2*-3-i5i 
11.659 

2-5'-29 



7250 
7300 



2.50.29 
3-2417 



2-3--I3-3I 

5-H5I 

2^.907 

3-41-59 
2-19.191 
7. 17.61 

22.3.5.112 

53-137 

2-3631 

33.269 

25.277 

5-1453 

2-3-7-173 

i3'-43 

22.23-79 

3-2423 

2-5-727 

II. 661 
23.32.101 
7.1039 
2.3637 

3-5'-97 
22.17-107 

19-383 
2-3-1213 
29-251 
24.5.7.13 

32.809 
2-11-331 



22.3.607 

5-31-47 

2-3643 

3-7-347 

23.911 

37-197 

2-3'-5 

23-317 

22.1823 

3.11-13.1 

2.7-521 

5-1459 

2'-3-i9 



2-41.bc 
32.811 

22.52.. 



7300 
7350 



2^-5^-73 
72.149 

2.3-1217 

67-109 

23.11.83 

3-5-487 
2-13-281 

22.32.7.29 

2-5-17-43 

3-2437 

2-^-457 
71.103 

2-3-23-53 

5-7.11-19 

22.31.59 

33.271 

2-3659 

13-563 

23.3.5.61 



2-7-523 

3-2441 

22.1831 

5'-293 
2. 32. 11.37 

17-431 

2^.229 

3-7-349 
2-5-733 



2'-3-i3-47 



2-19.193 

3'-5-i63 

23.7.131 

11.23.29 

2-3-1223 

41.179 

22.5.367 

3-2447 

2.3671 

7-1049 

24.33.17 

5-13-113 

2-3673 

3-31-79 

22. II. 167 

2-3-5'-7^ 



7350 
7400 



23.919 

3'-i9-43 
2.3677 

5-1471 
22.3.613 
7-1051 
2-13-283 

3-11-223 

26.5.23 

17-433 
2.32.409 

37-199 

22.7.263 

3-5-491 
2-29.127 

53-139 
23.3.307 

2.5.11.67 

3*-7-i3 
22.19.97 

73.101 

2.3.1229 

5 '-59 
24.461 

3-2459 

2.7-17-31 

47-157 
22.32.5.4] 



II 



2.61 
2.3691 

3-23-107 

23.13.71 

5.7.211 

2.3.1231 

83.89 

22.1847 

32.821 

2-5-739 

19.389 
25.3.7.11 

2-3697 

3-5-17-29 
22.432 

13-569 
2-33.137 

72.151 
2'-5'-37 



7400 
7450 



2^.5^.37 

3-2467 

2-3701 

11.673 

22.3.617 

5-1481 

2-7-232 

3^-823 
24.463 

31-239 
2-3-5-13-19 



2^.17-109 

3-7-353 
2-11-337 

5-1483 
23.32.103 

2-3709 
3-2473 

2^-5-7-53 

41. 181 
2.3.1237 

13-571 

23.29 

33.52.11 

2-47-79 

7.1061 

22.3-619 

17.19-23 

2-5-743 



3-2477 
23.929 



2-3'-7-59 

5-1487 
22. II. 132 

3-37-67 
2.3719 

43-173 
2*-3-5-3i 

7.1063 

2-612 

32.827 

22.1861 

5-1489 

2-3-17-73 

11.677 

23.72.19 

3-13-191 
2-5'-i49 



7450 
7500 



2.52.149 

22.34.23 

29-257 

2-3727 

3-5-7-71 
25.233 

2.3. II. 113 

2^-5-373 

32.829 
2-7- 13-41 

17-439 
23.3.311 

5 -1493 

2-3733 

3-19-131 

22.1867 

7-11-97 

2-3^-5-83 

31.241 
24.467 

3-47-53 
2. 37.101 

5^-13-23 
22.3.7.89 



2-3739 

33.277 

23.5. II. 17 



2-3-29-43 

7-1069 

22.1871 

3-5-499 
2. 19.197 

26.32.13 
2.5.7.107 

3. 11.227 

22.1873 

59-127 
2.3.1249 

5-1499 
23.937 

32.72.17 

2-23.163 



BROWN & SHARPE MFG. CO. 



M7 



From 
To 



7500 
7550 



7550 
7600 



7600 
7650 



7650 
7700 



7700 
7750 



7750 
7800 



o 
I 
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7 
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98 

99 

100 



13-577 
2-112.31 

3.41.61 
24.7.67 
5.19.79 
2.33.139 

22.1877 

3-2503 

2-5-751 

7-29-37 

2^-3-313 

11.683 

2. 13. 172 

32.5.167 

22.1879 

2.3.7.179 
73-103 

2'-5-47 

3.23.109 
2.3761 



2-5'-i5i 

3^-839 

2^-59 

7-13-83 

2.3.1259 

22.1889 

3'II'229 

2-3779 

2^-3'*-5"-7 



2.I9-I99 

3-2521 

22.31.61 

5.17.89 

2-3-13-97 

7.23.47 

24.11.43 

32.292 

2-5-757 

67-113 
22.3.631 



2^.3^.11.19 

5^-7-43 

2-53-71 

3-13-193 
2^.941 

2-3-5-251 

17-443 
22.7.269 

3' -3 1 
2.3767 

5-II-I37 
2*-3-i57 

2.3769 

3-7-359 
22.5.13.29 



2-7-541 

3.52. lOI 

23.947 

2.32.421 
11-13-53 
2^-5-379 

3-7-19' 

2.17.223 

25.3.79 

5-37-41 
2-3793 
33.281 
22.7.271 



24.52.19 
II. 691 
2.3.7.181 

22.1901 

3'-5-i3' 
2.3803 

23.3.317 

7.1087 

2.5.761 

3-43-59 

22. II. 173 

23-331 
2-3^-47 
5-1523 
26.7.17 

3-2539 
2.13.293 
19.401 
22.3.5.127 



2.37.103 

32.7.112 

2^-953 

53.61 

2.3.31.41 

29-263 

22.1907 

3-2543 
2.5.7.109 

13-587 

2*-3'-53 

17.449 

2-II-347 

3-5-509 

22.23.83 

7-1091 

2.3.19.67 



2. 3. 5. II. 23 



2.3^.419 

19-397 
23.23.41 

3-5-503 
2.73. II 

22.3.17.37 
2-5^-151 ' 



2--I3-73 

3-2531 

2-3797 

5-7'-3i 
22.32.211 

71.107 
2.29.131 
3. 17. 149 
2^-5'-i9 



23.5. 191 

3^-283 
2.3821 

22.3.72.13 

5-11-139 
2-3823 

3-2549 
25.239 



2.32.52.17 

7.1093 

22.1913 

3-2551 

2-43-89 

5-1531 

23. 3. II. 29 

13-19-31 

2-7-547 

3'-23-37 

22-5-383 

47-163 
2-3-1277 

79-97 
24.479 

3-5-7-73 
2-3833 
II. 17.41 
22.33.71 

2-5-13-59 

3-2557 
23.7.137 



2^.52.7.11 

3-17-151 

2-3851 



2-5-31 
23-337 
23.3. 17. 19 



2.3.1279 

5^-307 
22.19.101 

32-853 
2- 1 1-349 
7.1097 

2^-3-5 



2.23-167 

3-13-197 
22. 17. 113 

5-29-53 
2.32.7.61 



23.312 

3-11-233 
2.5.769 



22.3.641 

72-157 
2.3847 

3*-5-i9 
2*-i3-37 
43-179 
2-3.1283 



23.32.107 

5-23-67 

2-3853 

3-7-367 

22.41.47 

13-593 

2-3-5-257 

11-701 

25.241 

32-857 
2.7.19.29 

5-1543 
22.3.643 

2-17-227 

3-31-83 
23.5.193 

7. 1 103 
2.33. II. 13 



22.1931 

3-52-103 

2-3863 

24.3.7.23 
59-131 

2-5-773 

32-859 
22.1933 

1 1. 19.37 

2.3-1289 

5-7-13-17 
23.967 

3-2579 
2-53-73 
71.109 

22-32-5-43 



2-32-52-I7 



22.52.7. II 



2-72.79 

3-29-89 
26.112 

5-1549 
2.3-1291 
61-127 
22.13.149 

3^-7-41 
2-5"-3i 



2-3877 
3-5-II-47 

22.7.277 

2.32.431 
24.5.97 

3-13-199 

2.3881 

7. 1 109 

22.3.647 

5-1553 

2-II-353 

32-863 

23.971 

17-457 
2-3-5-7-37 

19.409 
22.29.67 

3-2591 
2.132.23 

52-311 

7.11.101 

2.3889 

3-2593 
22.5.389 

31-251 
2.3.1297 
43.181 
23.7.139 

32-5-173 
2.17.229 

13-599 
22.3.11.59 

2-5-19-41 

3-72-53 
24.487 

2-32-433 

5-1559 

22.1949 

3-23-113 

2-7-557 

11.709 

2^-3-52-13 



148 



BROWN & SHARPE MFG. CO. 



From 
To 



7800 
7850 



7850 
7900 



7900 
7950 



7950 
8000 



8000 
8050 



8050 
8100 



o 
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7 
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49 99 

50 1 100 



29-269 

2.47.83 
33.172 

22.1951 

5-7-223 
2.3.1301 
37-211 
27.61 

3-I9-I37 
2.5.11.71 

73.107 
22.32.7.31 

13-601 
2-3907 

3'5-52i 
23-977 



2-5''i57 

3.2617 

22.13.151 



2'^-5^-79 



2-3-5''53 



2-3-I303 

7.1117 

22.5.17.23 



3-.1] 
2-391 



•79 



24.3.163 

5'-3i3 

2-7'i3-43 

3.2609 

22.19.103 



2.33.5.29 



41.191 
23.11.89 

3-7-373 
2.3917 

5-1567 

22.3-653 

17.461 

2.3919 

32.13.67 

25.5.72 



2.3.1307 

II. 23.31 

2^-37-53 

3-5-523 

2.3923 

7-19.59 

28.32.109 

47-167 

2-5'-i57 



2-3-7-11.17 

5-1571 
2^.491 

3^-97 
2.3929 
29-271 
22-3-5-I3I 

7.1123 

2-3931 
3-2621 

23.983 

5-ii'-i3 
2-32.19.23 



-7.281 



3-43-61 

2.5.787 

17-463 
26.3.41 



2-31-127 

3'-5'-7 
22.11-179 



2-3'-439 

7-1129 

25.13.19 

3-5-17-31 
2.59.67 

22.3-659 
11-719 

2-5-7-113 

33.293 

23-23-43 

41-193 
2-3.1319 

5-1583 
22-1979 

3-7-13-29 
2-37-107 

24.32.5.11 



2-17-233 

3-19-139 

22-7-283 

5'-3i7 
2.3.1321 



2-3.13.101 

23.5.197 

3-37-71 
2-7-563 



23.991 
32.881 
2.5.13.61 



7- 1 1- 103 
22.3-661 



22.33.73 

5-19-83 
2-3943 
3-11-239 

2*-l7-29 

73.23 
2.3.5.263 

13-607 
22.1973 

32.877 

2-3947 
5-1579 
23.3.7-47 

53-149 

2-II-359 

3-2633 

2^^-5^-79 



2-3967 

3-5-23' 
28.31 



2-3*-7' 
17.467 

2^-5-397 

3-2647 
2-11-192 

i3'-47 
2=^-3-331 

5-7-227 
2-29-137 
3 '-883 
22.1987 



2-3-5^-53 



2^-7.71 
3.11-24 
2-41-97 

5-37-43 
22.32.13.17 

73-109 

2-23-173 

3-7-379 
23.5.199 

19.419 
2.3-1327 

22.11.181' 

3'-5-59 

2-7-569 

31-257 

25.3.83 

13-613 

2.5.797 

3-2657 
22.1993 

7.17.67 

2 -3 '-443 
52-11-29 
23.997 
3-2659 

2-3989 
79.101 
22.3.5.7.19 

23-347 
2.13.307 

32.887 
24.499 

5-1597 
2.3.113 



163 
22.1997 

3-2663 

2-5-17-47 

61-131 

23.33.37 

2.7-571 

3-5-13-41 
22.1999 

11-727 

2-3-31-43 
19-421 

2'-5^ 



2b, 5^ 

32-7.127 

2.4001 

53-151 
22.3.23.29 

S-i6oi 
2.4003 

3-17-157 
23.7.11.13 



2.5^.7.23 

83-97 
22.3.11.61 

2.4027 

3'-5-i79 
23.19.53 

7.1151 

2-3.17.79 



2.32.5.89 



22.2003 

3.2671 

2.4007 

5-7-229 

24.3.167 

2-19.211 

36-11 

22-5-401 

13.617 

2.3.7.191 

71. 113 

23.17.59 

3.52.107 

2-4013 

23-349 



22.32.223 

7-3I-37 
2-5-11-73 

3-2677 

25.251 
29-277 

2-3-13-103 

5-1607 

22-72.41 

32.19.47 

2-4019 



23-3-5.67 

1 1- 17-43 
2-4021 

3-7-383 

22.2011 

5-1609 

2-33.149 

13-619 

2* .503 

3-2683 

2-5'-7-23 



2'-5-i3-3i 

3-2687 
2-29-139 

11-733 

2^.32.7 

5-1613 
2-37-109 
3-2689 
22.2017 

2-3-5-269 

7- 1 153 
23.1009 

3^-13-23 

2- II -367 
52.17.19 

22-3-673 
41.197 
2.7.577 
3.2693 

24.5. lOI 



2.3^.449 

59-137 
22.43.47 

3-5-7" 
2.13.311 



II 



2'-3-337 
2.5.809 



.29.31 

.7.172 



2.3.19.71 

5.1619 

25.11.23 

3-2699 
2.4049 
7.13.89 

2^-3^-5' 



BROWN & SHARPE MFG. CO. 



149 



From 
To 



o 

I 
2 
3 
4 
5 
6 

7 
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61 
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63 
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71 
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81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 

93 
94 
95 
96 

97 

98 

99 

100 



8100 
8150 



22.34.52 

2.4051 

3-37-73 

23-1013 
5-1621 

2-3-7-193 

11^-67 

22.2027 

3'-i7-53 
2.5-811 



2^.3.13^ 

7-19-61 

2-4057 

3-5-541 
22.2029 



2-3^-11-41 

23-353 
23.5.7.29 

3-2707 
2-31-131 

22.3.677 

5'-i3 
2.17.239 

3'-7-43 

26.127 

11-739 
2-3-5-271 

47-173 

22.19.107 

3-2711 

2.72.83 

5.1627 

23.32.113 

79.103 
2-13-313 
3-2713 
22.5. 11.37 

7. I 163 

2-3-23-59 

17-479 

2^-509 

3'-5-i8i 

2-4073 

22.3.7.97 
29-281 
2-5 ''-163 



8150 
8200 



2-52.163 
3-11.13-19 
23.1019 
31.263 
2.33. 151 

5-7-233 
22.2039 

3-2719 
2.4079 
41.199 
25.3.5.17 



2.7.11.53 
32.907 

22.13.157 

5-23-71 
2-3-1361 



2^-1021 
3-7-389 
2-5-19-43 



2^-3'^-227 

11-743 
2-61-67 
3.52.109 

24.7.73 

13-17-37 
2.3.29.47 

22.5.409 

34.101 

2-4091 

72.167 

23.3.11.31 

5-1637 

2.4093 

3-2729 

22-23-89 

19-431 

2-3'-5-7-i3 



213 

3-2731 

2-I7-24I 

5-1 1. 149 

22.3.683 

7.1171 

2-4099 

32.911 



■I^:A1 



8200 
8250 



2 ^-5' -41 
59-139 
2.3.1367 
13-631 

22.7.293 

3-5-547 
2. 11.373 
29-283 
24.33.19 

2.5.82V 

3-7-17-23 

22.2053 

43-191 
2.3.372 

5-31-53 
23.13.79 

3^-11-83 
2-7-587 



2^-3-5-137 



2-4111 

3-2741 

2^-257 

5 '-7-47 

2-3'-457 

19-433 
22.112.17 

3-13-211 

2-5-823 



23.3.73 

2-23-179 

3^-5-61 

22-29-71 



2-3-1373 
7.11-107 
24.5.103 

3.41-67 
2. 13.317 



22.32.229 

5.17-97 

2.7-19.31 

3-2749 
23.1031 

73-113 
2-3-5'-ii 



8250 
8300 



2-3-5-^-11 
37-223 
22.2063 
32.7.131 

2.4127 

5-13-127 

2'-3-43 

23-359 

2-4129 

3-2753 

2^-5-7-59 

11-751 
2-3^-17 

23-1033 
3-5-19-29 
2-4133 
7-1181 

22-3-13-53 



2-5-827 

32.919 
24.11.47 



2.3.7.197 

5'-33i 
22.2069 

3-31-89 
2.4139 
17.487 
23.32.5.23 

7^-13=^ 
2-41-101 

3-11-251 
22.19.109 

5 '-33 1 
2-3-1381 



2-^-7-37 
3 '-307 
2-5-829 



22.3.691 



2. II. 13. 29 

3-5-7-79 
23.17.61 

2.32.461 

43-193 

2-5-83 



8300 
8350 



22.52.83 
3-2767 
2-7-593 
192.23 

2^-3-173 

5-11-151 

2-4153 
32.13.71 

22.31.67 

7-1187 
2-3-5-277 



23.1039 
3-17-163 

2-4157 
5-1663 
22-33.7.11 

2-4159 
3-47-59 
2^-5-13 

53-157 
2-3-19-73 
7-29.41 
22-2081 

3'-52-37 
2. 23-181 

11-757 
2'-3-347 

2.5.72.17 

3-2777 

2 -.2 083 

13-641 

2-32-463 

5-1667 

24.521 

3-7-397 
2. 11-379 
31-269 
2-3-5-139 

19-439 

2-43-97 

34.103 

23.7.149 

5.1669 

"2.3.13.107 

17.491 

22.2087 

3-ii'-23 
2-52.167 



8350 
8400 



2.52.167 

7- 1 193 
2^.32.29 

2.4177 

3-5-557 
22.2089 

61-137 
2.3.7-199 

13-643 

23-5-11. 19 

32.929 
2-37-113 

22.3.17.41 

5-7-239 
2-47-89 

3-2789 

2-^-523 

2-3'-5-3i 

11-761 

22.7.13.23 

3-2791 

2-53-79 

53.67 

2'-3-349 



2-59.71 
32.72.19 

22-5.419 



17^-29 

2-3-11-127 

83-101 

2'^-I3I 

3-5-13-43 

2-7-599 



2-5-839 

3-2797 

23.1049 

7.11-109 

2-3-1399 

5-23-73 

22.2099 

3'-3ii 
2-13-17-19 

37-227 

^^• 3-5^-7 



I50 



BROWN & SHARPE MFG. CO. 



From 
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85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 
97 
98 
99 
100 



8400 
8450 



31.271 
2-4201 
3.2801 
22.11. 191 

5-41' 

2.32.467 

7.1201 

23.1051 

3.2803 

2.5.292 

13-647 

2^.3.701 

47.179 

2-7.601 

32.5. II. 17 

25.263 

19-443 
2-3-23.61 

22.5.421 

3-7.401 
2-4211 

23.34.13 

5'-337 
2. 11.383 

3-53' 
22.72.43 

2.3.5.281 



2^-17-31 

3'-937 
2-4217 

5-7-24I 
22.3.19.37 

11-13-59 

2.4219 

3.29-97 

23. 5. 211 

23-367 

2.32.7.67 

22-2III 

3-5-563 
2.41. 103 

28.3.II 

7. 17.71 

2'5^-i3^ 



8450 
8500 



2.5-^.132 

3^-313 

22.2113 

79.107 

2.3.1409 

5.19.89 

23. 7. 151 

3.2819 

2.4229 
11.769 
2'-3'-5-47 



2.4231 

3-7-13-31 

24.232 

5-1693 
2.3.17.83 

22.29.73 

3'-94i 

2.5.7.112 

43-197 
2'-3-353 
37-229 
2.19.223 

3-5^-ii3 
22.13.163 

7'-i73 
2-33.157 

61.139 

2'-5-53 

3.11.257 

2.4241 

17.499 

22.3.7. lOi 

5.1697 

2.4243 

32.23.41 

23.1061 

13-653 
2-3-5-283 



7-1213 
22. 1 1. 193 
3. 19. 149 

2-31-137 
5.1699 

2^-3^-59 
29.293 
2.7.607 
3-2833 



5^-17 



8500 
8550 



22.53.17 

2-3-13-109 

11-773 
23.1063 

3'-5-7 

2-4253 

47.181 

22.3.709 

67.127 

2-5-23-37 

3-2837 
26.7.19 



2.3^.11.43 

5-13-131 
22.2129 
3.17.167 

2-4259 
7-1217 
23.3.5.71 



2.4261 

3 '-947 
22.2131 

5^-11-31 
2.3-72.29 

2^.13.41 

3-2843 

2-5-853 



19.449 

22.33.79 

7-23-53 
2. 17.251 

3-5-569 
23.11.97 

2.3.1423 

22.5.7.61 



3'-i3-73 
2-4271 

2^-3-89 
5.1709 

2-4273 

3-7-II-37 

22.2137 

83-103 

2-32-5'-i9 



8550 
8600 



2.3^.5^.19 

17-503 
23.1069 

3-2851 
2.7.13.47 

5-29-59 
22.3.23-31 

43-199 
2-11.389 

3^-317 
2^.5.107 

7.1223 
2-3.1427 



22.2141 

3-5-571 
2-4283 

13-659 

23.32.7.17 

11-19.41 
2-5-857 

3-2857 
22.2143 



2.3.1429 

5^-7^ 
27-67 

3 '-953 
2.4289 

23-373 
22.3.5.11.13 



2-7-613 

3.2861 

23.29.37 

5.17. lOI 

2-3*'53 

31-277 

22.19.113 

3-7-409 
2-5-859 

112.71 

2^-3-179 
13-661 
2-4297 
3'-5-i9i 



2-. 7.307 



2-3-I433 

2^-5^-43 



8600 
8650 



2"-5'-43 

3.47.61 

2-11.17.23 

7.1229 

22.32.239 

5.1721 

2-13-331 

3-19-151 

25.269 

2-3-5-7-41 

79.109 

22.2153 

33.11-29 

2-59-73 

5-1723 

2'-3-359 

7-1231 

2-31-139 

3-i3'-i7 

2'-5-43i 

37-233 

2-32.479 



2^.72.11 

3-5'-23 
2.19.227 



22.3.719 

2-5-863 

3'-7-i37 
23.13.83 

89.97 
2-3-1439 

5-II-I57 
22.17.127 

3-2879 
2.7.617 

53-163 

26.33.5 



2.29.149 

3-43-67 
22.2161 

5-7-13-T9 
2.3.11.131 



'•23.47 
2.312 

5^-173 



8650 
8700 



2-5'-i73 
41. 211 
22.3.7.103 

17-509 

2-4327 
3-5-577 
2^-541 
11.787 

2-3'-i3-37 

7-1237 

2^-5-433 

3-2887 
2. 61. 71 

23.3.192 

5-1733 
2.7.619 
34.107 
22. II. 197 

2.3.5.172 

13.23.29 

25.271 

3-7'-59 

2-4337 

5^-347 

22.32.241 



2-4339 

3-11-263 

23.5.7.31 



2.3.1447 

19-457 
22.13.1167 

3'-5-i93 
2.43. lOI 
7.17.73 
24.3.181 

2.5.11.79 

3.2897 
2'-4i-53 

2.33.7.23 

5-37-47 
23.1087 

3-13-223 
2-4349 

2 2 -3-5 '-29 



BROWN & SHARPE MFG. CO. 



151 



From 
To 



8700 
8750 



8750 
8800 



8800 
8850 



8850 
8900 



8900 
8950 



8950 
9000 



o 

I 
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II 
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89 
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91 
92 
93 
94 
95 
96 

97 

98 

99 

100 



2^.3.5^.29 
7-11.113 

2.I9-229 
32.967 

2^.17 

5-I/4I 
2-3-I45I 

22.7.311 

3.2903 

2.5.13.67 

31.281 
23.32.112 

2-4357 

3-5-7-83 

22.2179 

23-379 
2-3-1453 

2^.5.109 

33.17.19 

2.72.89 

II. 13.61 

22.3.727 

5^-349 

2-4363 

3.2909 

23.1091 

7-29-43 

2-3'-5-97 



2 2-37-59 

3-41-71 

2-II-397 

5-1747 
25.3.7.13 

2-17-257 

3'-97i 

22.5.19.23 



2-5*-7 
3-2917 

2-^-547 



3-31-47 

1249 

.1093 

5-II-53 

4373 



2^.5^.11 

13.677 

2.33.163 



2^.37 

13-673 

2-5'^-7 



2-3- H59 
5.17.103 
22.1 1. 199 

3'-7-i39 
2. 29.151 
19.461 
2^-3-5-73 



2-13-337 
3-23-127 

22.7.313 

5-1753 
2.32.487 
11.797 
26.137 

3-37-79 

2.5.877 

72.179 
22.3.17.43 

31-283 
2.41-107 

3'-5'-i3 
23.1097 
67.131 
2-3.7. II. 19 

2'-5-439 

3-2927 
2.4391 

2^.32.61 

5-7-251 
2.23. 191 
3. 29.101 
22.133 
II. 17.47 
2-3-5-293 

59-149 

23.7.151 
32.977 

2-4397 
5-1759 
2'-3-733 
19.463 

2-53-83 

3-7-419 

25.52.1 J 



22.31.71 

3-5-587 
2.7.17.37 

2'-3-3'67 

23-383 

2-5-881 

32.11.89 

22.2203 

7-1259 

2-3-13-113 

5-43-41 

2*. 19.29 

3-2939 
2.4409 

22-3'-5-7' 



2. II. 401 

3-17-173 
23.1103 

5'-353 

2.3-1471 

7-13.97 

22.2207 

3*. 109 

2-5-883 



2'-3-23 

112.73 

2.7-631 

3-5-I9-3I 



2-3-5'-59 

53-167 

22.2213 

3.13.227 

2.19.233 

5-7-11-23 
23.33.41 

17.521 

2.43-103 

3-2953 

2'-5-443 



2.3.7.211 

25.277 

3'-5-i97 
2. II. 13-31 

2'-3-739 

72.181 

2.5.887 

3-2957 
23.1109 
19-467 
2.32.17.29 

5^-71 
22.7.317 

3.11.269 
2-23-193 
13.683 
2^-3-5-37 

83-107 
2.4441 
3'-7-47 

22-2221 

5-1777 

2.3.I48I 



2-3^.491 
23.5.I3.I7 

3-7-421 
2-4421 

37-239 

23.3- 1 1-67 
5-29-61 

2-4423 
32-983 
2^.7-79 

2-3-52-59 



23.II.IOI 
3.2963 

2.5.7.127 

17-523 



2-4447 

3-5-593 

2fi.i39 

7.31.41 

2.3.1483 

11.809 

22.52.89 



22.52.89 
3'-23-43 
2-4451 
29-307 

2^-3-7-53 
5-13-137 
2-61-73 

3-2969 
22. 17. 131 

59-151 
2.34.5.11 

7-19-67 

2'^-557 
3-2971 

2-4457 
5-1783 
22.3-743 

37-241 
2.73.13 
32.991 
23.5.223 

II. 811 
2.3.1487 

22.23-97 

3-52-7-17 

2-4463 

79-113 
25.32.31 

2.5.19.47 

3.13.229 

22. 7. II. 29 

2.3.7489 

5.1787 
23.1117 

3^-331 
2.41.109 
7.1277 
22.3.5.149 



2.17-263 
3.11.271 

2'-i3-43 

5.1789 

2.32.7.71 

23-389 

22.2237 

3-19-157 
2. 52-179 



2.5-. 179 

2^-3-373 
7.1279 
2. 112.37 

3'-5-i99 
22.2239 

13^-53 

2-3- 1493 
172.31 

28.5.7 

3-29-103 
2-4481 

22.33.83 ■ 
5-11-163 

2-4483 
3.72.61 
23.19.59 

2-3-5-I3-23 



2^-2243 
32.997 

2.7.641 

52-359 
2^.3.11-17 
47.191 
2.672 

3-41-73 
22.5.449 

7.1283 

2.32.499 

13.691 

23.1123 

3-5-599 

2-4493 

11-19-43 

22.3.7.107 

89.101 

2-5-29-31 

3'-37 

25.281 

17.232 

2-3-1499 

5-7-257 
22.13.173 

3-2999 
2.11-409 



28-32.5' 



BROWN & SHARPE MFG. CO. 



From 
To 



o 

I 

2 
3 
4 
5 
6 

7 
8 

9 

lO 

II 

12 

13 
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i6 

17 
i8 

19 

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22 
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24 
25 
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27 

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50_ 



50 
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81 
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89 
90 

91 
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96 

97 

98 

99 

100 



9000 
9050 



2-3 



•3^-5 



2.7.643 

3.3001 

22.2251 

5.1801 

2.3.19.79 

2^-563""' 
32. 7. II. 13 

2-5-I7-53 



•3-751 



2.4507 

3.5.601 

23.72.23 

71.127 

2.33.167 

29.311 

22.5.11.41 

3-3I-97 

2-I3-347 
•7.1289 

2^-3-47 
52.192 

2-4513 

3'-i7-59 

22.37.61 

2-3-5-7-43 

11.821 

2^.1129 

3-3011 

2-4517 

5- 13- 139 

22.32.251 

7.1291 
2-4519 
3-23-131 
2^-5-113 



2.3.11.137 

22.7.17.19 

3^-5-67 

2-4523 

83.109 

2^.3.13.29 

2.52.181 



9050 
9100 



2.5^.151 

3-7-431 
22.31.73 

11.823 

2-3'-503 

5.1811 

25.283 

3-3019 
2.7.647 



2-3-5-151 

13.17.41 
2-23-197 



3^-19-53 
2 3. 1 1- 103 

5-7'-37 
2-3-1511 

22.2267 

3-3023 

2-5-907 

47-193 

24.3^.7 

43.211 

2-13-349 

3. 52.112 

22.2269 

29-313 

2.3.17.89 

7.1297 

23.5.227 

32.1009 

2-19-239 

31-293 

22-3-757 

5-23-79 

2. 7. II. 59 

3-13-233 
2^.71 
61.149 
2.32.5. lOI 



22.2273 
3-7-433 
2-4547 
5. 17. 107 

2^-3-379 
11-827 

2-4549 
3'-337 

2^-5^-7-13 



9100 
9150 



2^-5^-7-i: 
19.479 

2-3-37-41 

2^.569 
3.5.607 

2-29-157 
7.I30I 



.5.911 



3-3037 

23.17.67 

13.701 

2.3.72.31 

5-1823 

2'-43-53 
32.1013 

2-47-97 
11.829 
25.3.5.19 



7-1303 
2-4561 
3-3041 

22.2281 

5'-73 
2.33.132 

23.7.163 
3. 17. 179 

2.5.11.83 

23-397 
22.3.761 

2-4567 

3'-5-7-29 

2^.571 



2-3-1523 
13-19-37 

2'-5-457 

3.11.277 

2-7-653 
41.223 
23.32.127 

5-31-59 
2.17.269 

3-3049 

22.2287 

7.1307 

2.3.52.61 



9150 
9200 



2-3-5' 



.61 



2^.11-13 

3^.113 

2-23-199 

5-1831 
22.3.7.109 

2. 19.241 
3-43-71 



.5.229 



2.32.509 

72. II. 17 

22.29.79 

3-5-13-47 

2-4583 

89. 103 

2^.3.191 

53-173 
2.5.7. 131 

32.1019 



•2293 



2.3.11.139 

5^-367 
23.31.37 

3-7-19-23 
2-13-353 
67.137 

2'-3'-5-i7 



2-4591 

3-3061 

25.7.41 

5.11-167 

2-3-1531 



22.2297 
32.1021 
2-5-919 

7.13-101 

2^-3-383 
29-317 

2-4597 
3-5-613 



19 



2^.11 
17-541 

2-3'-7-73 



'5' -23 



9200 
9250 



2-^.52.23 

3-3067 
2.43.107 

2'-3-i3-59 
5-7-263 
2-4603 
33. II. 31 
23.1151 

2-3-5-307 

61-151 

.22.72.47 

3-37-83 
2. 17.271 
5-19.97 

210.02 

13.709 
2-11.419 

3-7-439 
22.5-461 



2-3-29-53 

23-401 

23.11-53 

3^-5^-41 
2-7-659 



22.3-769 

11-839 

2.5.13.71 

3.17.181 
2''-577 
7-1319 
2.35.19 

5-1847 
22.2309 

3-3079 
2-31-149 

23.3.5.7.11 



2.4621 

3'-i3-79 
22.2311 

5-43' 

2-3-23-67 

7-1321 

25.172 

3-3083 

2-5'-37 



9250 
9300 



2-5'-37 

11.292 

22.32.257 

19.487 

2.7.661 

3-5-617 
23.13.89 

2-3-1543 
47.197 

2^-5-463 

33.73 

2.11.421 

59-157 

2*-3-i93 

5. 17. 109 

2.41. 113 

3-3089 
22.7.331 

13-23-31 
2-3^-5-103 

73-127 
23.19.61 
3-11-281 
2-4637 

5^-7-53 
22.3.773 



2.4639 
32.1031 

26.5.29 



2-3-7-13-17 

22.11.21j 

3-5-619 

2-4643 

37-251 
23.33.43 

7-1327 
2.5.929 

3. 19.163 
22.23.101 

2-3-1549 
5-11-13' 
24.7-83 

3'- 1033 
2-4649 
17-547 
2^-3-5-31 



BROWN «S: SHARPE MFG. CO. 



^53 



From 
To 



9300 
9350 



9350 
9400 



9400 
9450 



9450 
9500 



9500 
9550 



9550 
9600 



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.50. 



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88 

89 
90 

91 
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96 

97 

98 

99 

100 



■ 2. 



2.. 



71. 131 
2.4651 

3-7-443 

23.1163 

5.1861 

2.32. 11.47 

41.227 

22.13.179 

3.29.107 

2.5.72.19 



25.3.97 
67.139 
2-4657 

3^'5-23 

22.17.137 

7.113 

2-3-I553 

2^-5-233 

3-I3-239 
2.59.79 

22.32.7.37 

5'-373 
2.4663 

3-3109 

2-^-ii-53 
19.491 

2-3-5-3II 

7-3I-43 
22.2333 
32.17.61 

2- 13-359 

5.1867 

23.3.389 

2.7.23.29 

3.II.283 

22.5.467 



2.5^.11.17 
32.1039 
23.7.167 
47.199 

2-3-1559 

5.1871 
22.2339 

3-3119 
2.4679 
72.191 

2*-3'-5-i3 

11.23.37 

2-31-151 
3.3121 

22.2341 

5-1873 

2.3.7.223 

17.19.29 

23.1171 

3'-347 
2-5-937 



2^.5^.47 

7.17.79 

2.3.1567 

22.2351 
32.5.11.19 
2.4703 
23.409 

26.3.72 

972 
2.5.941 

3-3137 
22. 13. 181 



2-3'-5'-7 

13-727 

22.17.139 

3-23-I37 
2.29.163 

5-31-61 
24.3.197 

7^-193 
2-4729 
32.1051 
22.5.11.43 



2^.53.19 
3-3167 

2-4751 

13-17-43 
25.33.j1 

5.1901 
2.72.97 

3-3169 

22.2377 

37-257 
2-3-5-317 



2.3.19.83 



2-3'-523 
5.7.269 

23. II. 107 

3-43-73 

2.17.277 

2'-3-5-i57 



22. 3. II. 71 
7. 13. 103 
2.43.109 

3-5' 
25.293 

2.32.521 

83-113 

22.5.7.67 

3-53-59 
2.4691 

i 1-853 

23.3.17.23 

5.1877 

2-13. 192 

32.7.149 

22.2347 

41.229 

2-3-5-3I3 



2.3^.173 

2^-73 

3-5-7-89 

2.4673 

13-719 
22.3. 19.41 

2. 52. II. 17 



2^-587 
3.31. lOI 
2. 7. II. 61 
5.1879 
22. 3*. 29 



2.37.127 
3.13.241 

2^-5^-47 



2.7.673 

3'-349 

2^.19.31 

52.13.29 

2-3-1571 

11-857 

22.2357 

3-7-449 
2.5.23.41 



23.32.131 

2-53-89 

3-5-17-37 
2^-7-337 

2.3.112.13 

2''-5-59 

32.1049 

2.4721 

7.19.71 

22.3.787 

5.1889 

2-4723 

3-47-67 

23.1181 

11-859 

2.33.52.7 



23.7.132 

3-5-631 

2-4733 

22.32.263 

17-557 

2-5-947 

3.7.11.41 

28.37 

2-3-1579 

5'-379 

22.23.103 

3'-i3 

2.7.677 



3-5-79 



19.499 

2.11.431 

3.29.109 

22.2371 

5.7.271 

2.32. 17.31 

53-179 
2^-593 
3-3163 
2-5-I3-73 



2^.29.41 

3'-7-i5i 
2.67.71 

5-II-I73 
22.3.13.61 

31-307 
2-4759 
3-19-167 
24.5.7.17 



2.32.232 
89-107 
22.2381 
3-5'-i27 

2-II-433 
7.1361 

2'-3-397 

13-733 

2-5-953 

3 '-353 



•2383 



22.3.7.1 
11.863 
2.47. lOI 

3^-5-211 
23.11S7 



13 



2.3.7.227 

5.1907 

2^.149 

3.11-172 

2-19-251 

2^-3^-5-53 

7.29.47 
2.13-369 
3-31-81 
23.1193 

5-23-83 
2-3-37-43 



2-3-1583 

7-23-59 

22.53.19 



22.7.11.31 

32.1061 

2-52.191 



2.5^.191 

24.3.199 

41-233 

2. 17.281 

3-5-7'-i3 
22.2389 

19-503 

2-3^-59 
112.79 

23.5.239 

3-3187 

2.7.683 

73-131 
22.3.797 

5-1913 
2-4783 
32.1063 
25.13.23 

7-1367 
2-3-5-11-29 

17-563 
22.2393 

3-3191 

2-4787 

5^-383 
23.32.7.19 

61-157 
2.4789 

3-31-103 
22.5.479 

II. 13-67 

2-3-1597 

7-37' 

2* -599 

3'-5-7i 

2-4793 

22.3.17-47 

43-223 

2-5-7-137 

3-23-139 

2 3. I I- 109 

53.181 

2-32-I3-4I 

5-I9-IOI 

22.2399 

3-7-457 
2-4799 
29-331 

2-3-5'^ 



154 



BROWN & SHARPE MFG. CO. 



From 
To 



9600 
9650 



9650 
9700 



9700 
9750 



9750 
9800 



9800 
9850 



9850 
9900 



o 

I 

2 
3 
4 
5 
6 

7 
8 

9 
10 

II 
12 
13 
14 
15 
16 

17 
18 

19 
20 

21 

22 
23 
24 
25 
26 

27 
28 

29 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

41 
42 
43 
44 
45 
46 

47 
48 

49 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 
72 
73 
74 
75 
76 

77 
78 
79 
80 

81 

82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 

93 
94 
95 
96 

97 
98 
99 



•3-5^ 



2.4801 
32.11.97 

22.74 

5-I7-II3 
2-3.1601 

13-739 
2^.1201 

3-3203 

2-5-31' 

7-1373 

22.33.89 

2.11-19.23 

3-5-641 
2^.601 
59-163 
2.3.7.229 

2'-5-i3-37 

32.1069 

2.17.283 

23.3-401 

53.7.11 

2-4813 

3-3209 

22.29.83 



50 1 100 



2.32.5.107 



2-^-7-43 
3. 132. 19 

2.4817 

5-41-47 
22.3.11.73 

23-419 
2.61.79 
34.7.17 

23.5.241 

31. 311 

2.3.1607 

22.2411 

3-5-643 

2-7-13-53 

11.877 

24.32.67 

2-5'-i93 



2-5'-i93 

3-3217 

22.19.127 

72.197 

2.3.1609 

5-1931 
23.17.71 

3'-29-37 
2. 1 1.439 

13-743 
2'-3-5-7-23 



2.4831 
3-3221 
26.151 

5-1933 
2.33.179 

7.1381 

22.2417 

3.11.293 

2.5.967 

19.509 
23.3.13.3] 
17.569 
2.7.691 

3'-5'-43 
22.41.59 

2.3.1613 

2^.5.112 



3.7.461 
2.47.103 
23.421 
22.32.269 

5- 13- 149 
2.29.167 
3.3229 
23.7.173 



2^.52.97 

89. 109 
2.32,72.11 

31-313 
23.1213 

3-5-647 
2. 23. 211 

17-571 
22.3.809 
7.19.73 
2.5.971 

3^-13-83 
2*. 607 
11.883 
2.3.1619 

5-29-67 

22.7.347 

3-41-79 
2-43-II3 



2-3-5'-i3 
72.199 

23-23.53 
3-3251 

2.4877 

5-1951 
22.32.271 

11.887 
2.7.17.41 

3-3253 
25.5.61 

43-227 
2.3.1627 

13-751 
22.2441 

3'-5-7-3i 
2-19-257 



23.52.72 

34.112 

2.132.29 

2'-3-i9-43 

5-37-53 
2.4903 

3-7-467 
2^.613 

17-577 
2.33.5.109 



2^.11.223 

3-3271 
2.7.701 

5-13-151 
23.3.409 



23.35.5 



2.4861 

3-7-463 
22. II. 13. 1' 

5^-389 
2.3.1621 

71-137 
2^-19 

3'-23-47 
2-5-7-139 

37-263 
22.3.811 

2-3^-157 

3-5-II-59 

23.1217 

7-13-107 

2-3'-54i 



2-3-5-17.19 

11.881 
22.2423 

3 '-359 
2.37. 131 

5-7-277 
24.3. lOI 

2-13-373 
3-53-61 

2^-5^-97 



22.5.487 

3.17.191 

2.4871 

24.3-7.29 

5-1949 
2. 1 1.443 
33.192 

22.2437 
2-3-5^-13 



23.3.11.37 

2-5-977 

3-3257 
22.7.349 

29-337 
2. 33. 181 

5'-i7-23 
24.13.47 

3-3259 
2.4889 
7-11-127 
2^-3-5-163 



2-67-73 
32.1087 
23.1223 
5. 19.103 
2-3-7-233 

22.1247 

3-13-251 
2.5.11.89 



2^.3^.17 

7-1399 

2-59-83 

3-5-653 
22.31.79 

97.101 

2.3-23-71 

41-239 



2-4909 

32-1091 

22.5.491 

7.23.61 
2.3.1637 
II. 19.47 
25.307 

3-5'-i3i 

2.173 

31-317 

22.33.7.13 

2-5-983 

3. 29.113 
23.1229 



2.5^.197 

22.3.821 
59.167 
2-13-379 
3'-5-73 

2'. 7. II 

2-3-3I-53 

22.5.17.29 

3-19-173 
2-4931 
7.1409 
23.32.137 

5-1973 
2-4933 
3-11-13-23 
22.2467 

71-139 

2-3-5-7-47 

2^.617 

32.1097 

2-4937 

5'-79 

22.3.823 

7.17.83 

2. 1 1.449 

3-37-89 
23.5.13.19 

41.241 
2.34.61 



2.3. II. 149 

5.7.281 

22.2459 

32.1093 

2.4919 

24.3.5.41 

13-757 
2-7-19-37 

3-17-193 

22.23-107 

5-11.179 

2-3'-547 

43-229 

23.1231 

3-7^-67 
2.52.197 



2'-7-353 

3-5-659 

2-4943 

25.3.103 
II. 29.31 
2-5-23-43 

3'-7-i57 
22.2473 
13.761 
2.3.17.97 

5-1979 
23.1237 

3-3299 

2-72.101 

19.521 

22.32.52.11 



BROWN & SHARPE MFG. CO. 



■55 



From 
To 



9900 
9950 



9950 

lOOOO 



lOOOO 

10050 



10050 

lOIOO 



lOIOO 

IOI50 



IOI50 

I0200 



o 

I 

2 

3 
4 
5 
6 

7 
8 

9 
10 

II 
12 
13 
14 
15 
16 

17 
18 

19 
20 

21 
22 
23 
24 
25 
26 

27 
28 
29 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

41 
42 
43 
44 
45 
46 
47 
48 
49 
5o_ 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 
72 
73 
74 
75 
76 
77 
78 
79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 

93 
94 
95 
96 
97 
98 
99 
100 



II 



2-4951 
3-3301 
24.619 

5-7-283 
2-3.I3-I27 

22.2477 

3'-367 
2.5.991 

II-I7-53 

2'-3-7-59 

23-431 

2-4957 

3-5-661 

22.37.67 

47-211 

2.32.19.29 

7.13.109 

2«-5-3i 



3-3307 
2.112.41 



2.52.199 

3.31. 107 

25.311 

37.269 

2.32.7.79 

5.11.181 

22.19.131 

3-3319 

2-13-383 

23-433 

2^-3-5-83 

7-1423 

2-17-293 

3'-4i 

2'-47-53 

5-1993 

2.3.11.151 

24.7.89 

3-3323 
2.5.997 

i3'-59 

22.32.277 



22.3.827 

5 '-397 
2.7.709 
32.1103 
23.17.73 

2-3-5-33I 



2^.13.191 

3-7-II-43 

2.4967 

5.1987 

24.33.23 

^9-523 
2.4969 

3-3313 

22.5.7.71 



2.3.1657 

61-163 

2^.11.113 

3'-.5-i3-i7 

2-4973 

73.29 

22.3.829 

2-5'-i99 



2.4987 

3-5'-7-i9 
2^.29.43 
11.907 
2-3.1663 

17.587 
2 '-5-499 

32.1109 

2.7.23.31 

67.149 

28.3.13 

5-1997 

2-4993 

3-3329 

22.11-227 

7.1427 

2-3'-5-37 

97.103 

23.1249 

3-3331 
2-19-263 

5-1999 
22.3.72 17 

13-769 

2-4999 
32.11.101 

24.54 



24.54 

73-137 
2.3.1667 

7-1429 
2". 41-61 

3-5-23-29 
2.5003 

23.32.139 

2.5.7.11.13 

3-47-71 

22.2503 

17.19-31 

2.3.1669 

5.2003 

25.313 

3'-7-53 
2.5009 

43-233 
22.3.5.167 

11-911 
2-501 1 

3-13-257 

2^.7-179 

52.401 

2-3'-557 

37-271 

22.23.109 

3-3343 
2-5-17-59 



19 



7-1433 

24. 3. II 
79.127 
2-29-173 

3'-5-223 
22.13.193 

2-3-7-239 

23.5.251 

3-3347 

2-5021 

112.83 

22-3^-31 

5-7^-41 

2. 5023 

3-17-197 

2«-i57 

13-773 

2-3-5^-67 



2-3-5^-67 
19.232 

2'-7-359 
32.1117 

2-II-457 
5-201 1 
23.3.419 
89.113 
2.47.107 

3-7-479 
22.5-503 



22.52.101 

3-7-13-37 
2-5051 



2<*.3.42I 

5-43-47 

2-31. 163 

32.1123 

22.7.192 

11.919 

2-3-5-337 



2-3'-i3-43 

29-347 

24.17.37 

3.5-11-61 
2-7-719 

22.3.839 ■ 
2-5-19-53 



3'-373 

23.1259 

7-1439 
2-3-23-73 



5^-13-31 
22.11.229 

3-3359 
2-5039 

25.32.5.7 

17-593 

2.712 

3-3361 

22.2521 

5.2017 

2.3-412 

7-11-131 

23.13.97 

3'-i9-59 
2-5.1009 



27.79 

3-3371 
2.13-389 

5-7-17' 

22.32.281 

67.151 

2-5059 

3-3373 

23.5.11.23 

29.349 

2.3.7.241 

53-191 
22.2531 

3^-5^ 

2.61.83 

13.19.41 

2*. 3. 211 

7-1447 
2-5-1013 

3. 1 1.307 
22.17.149 

2-3'-563 
5-2027 

23. 7. 181 
3.31. 109 
2-37-137 

2'-3-5*-i3' 



22.3.292 

2-72.103 

3-5-673 
24.631 

23-439 
2.33. II. 17 

22.52.101 



2. II. 461 

3'-7'-23 
25.317 

5.2029 
2.3.19.89 
^/3-i39 
2^-43-59 
3.17. 199 

2-5''7-29 



2.52.7.29 

23.33.47 
II. 13-71 
2-5077 
3-5-677 
22.2539 

7-1451 
2.3.1693 

24.5.127 

32.1129 
2.5081 

22.3.7.112 

5-19-107 

2-13-17-23 

3-3389 
23.31.41 

2-3'-5-ii3 

7-1453 
22.2543 

3-3391 

2.5087 

5'-ii-37 
2^-3-53 

2.7.727 

33.13.29 

22.5.509 



2-3.1697 

17-599 
23.19.67 

3-5-7-97 
2.11.463 
61.167 

22.32.283 

23-443 
2.5-1019 

3-43-79 
24.72.13 

2-3-1699 

5-2039 

22.2549 

32.11.103 

2-5099 

7-31-47 



Decimal Equivalents 



158 



BROWN & SHARP E MFG. CO. 



DECIMAL EQUIVALENTS OF PARTS OF AN INCH. 



A 



■6¥ 



I-16 



h 



3 

"g'2 



A 



i-8 



"6T 



A 



64 



3-16 



13 
64. 



1-4 



H 






5'i6 



.01563 
.03125 
.04688 
.0625 

.07813 
.09375 
.10938 
.125 

.14063 
.15625 
.17188 
.1875 

.20313 
.21875 
.23438 
.25 

.26563 
.28125 
.29688 
.3125 



G4 



23 

U4 



3-8 



11 
64 



if 



■2Z 
64 



16 



29 
6¥ 



1 5 
32 



fi 



1-2 



64 



41 



33. 
04 



9-16 



31 
¥4 



19 
1^ 



39 



5-8 



41 
174 



43 



II-16 



.32813 
.34375 
.35938 
.375 

.39063 
.40625 
.42188 
.4375 

.45313 
.46875 
.48438 
.5 

.51563 
.53125 
.54688 
.5625 

.57813 
.59375 
.60938 
.625 

.64063 
.65625 
.67188 
.6875 



45 



23 
32 



« 



3-4 



49 

64 



2.5 
32 



13-16 



5.3 
64 



1^ 
64 



7-8 ... 



ST 
"6T 



29 
32" 



59 
64 



15-16 

3. 
6 



.70313 
.71875 
.73438 
.75 

.76563 
.78125 
.79688 
.8125 

82813 
,84375 
85938 
.875 

.89063 
.90625 
.92188 
.9375 

.95313 

.96875 

.98438 

LOOGGO 



BROWN & SHARPE MFG. CO. 



159 



TABLE OF DECIMAL EQUIVALENTS OF MILLIMETRES AND 
FRACTIONS OF MILLIMETRES. 



mm. Inches. 


mm. Inches. 


mm. Inches. 


mm. Inches. 


ji^ = .00039 


ii = 


.01399 


64 

100 ~ 


.03530 


jk = -03740 


4 = .00079 


34 = 

100 


.01339 


65 

100 


.03559 


^0 = .03780 


j| = .00118 


35 
100 ~ 


.01378 


OC 
100 


.03598 


fo = .03819 


100 ^^^ .00157 


-36._ 
100 — 


.01417 


67 
100 


.03638 


^0 = .03858 


ilo = -00197 


1 = 


.01457 


^ _ 
100 — 


.03677 


iS = .03898 


ilo = -00336 


^ = 


.01496 


69 

100 — 


.03717 


1 = .03937 


m - -00^6 


39 

100 


.01535 


70 
100 


.03756 


3 = .07874 


^ = .00315 


40 
100 ~ 


.01575 


71 
100 ~ 


.03795 


3 = .11811 


ife = -00354 


41 

100 ~~ 


.01614 


72 _ 
100 


.03835 


4 = .15748 


^ = .00394 


42 
100 


.01654 


J3 _ 
100 ~ 


.03874 


5, = .19685 


^ = .00433 


100 ~ 


.01693 


74 
100 


.03913 


6 = .33633 


m - -00473 


44 

100 


.01733 


75 _ 

100 — 


.03953 


7 = .37559 


^ = .00513 


100 


.01773 


100 — 


.03993 


8 = .31496 


^ = .00551 


40 

100 — 


.01811 


100 


.03033 


9 = .35433 


^ -= .00591 


47 

100 — 


.01850 


78 
100 


.03071 


10 = .39370 


1^ = .00630 


48 
100 — 


.01890 


79 
100 — 


.03110 


11 = .43307 


1^ = .00669 


49 
100 


.01939 


80 
100 — 


.03150 


13 = .47344 


^ = .00709 


50 

100 


.01969 


81 
100 ~ 


.03189 


13 = .51181 


^ — .00748 


51 

100 — 


.03008 


82 
100 — 


.03338 


14 == .55118 


^ = .00787 


52 

100 


.03047 


83 
100 — 


.03368 


15 = .59055 


ij = .00837 


-53. _ 
100 


.03087 


M _ 
100 — 


.03307 


16 = .63993 


S = .00866 


54 
100 


.03136 


85 

100 — 


.03346 


17 = .66939 


S = .00906 


55 
100 


.03165 


100 "^ 


.03386 


18 = .70866 


^ = .00945 


56 
100 — 


.03305 


J7 _ 
100 ~~ 


.03435 


19 = .74803 


So = .00984 


57 
100 


.03344 


M _ 
100 — 


.03465 


30 = .78740 


S = .01034 


.5L_ 
100 — 


.03383 


S = 


.03504 


31 = .83677 


So = .01063 


59 
100 — 


.03333 


90 
100 ~ 


.03543 


33 = .86614 


fo = -01103 


-CO _ 
100 


.03363 


Z- 


.03583 


33 = .90551 


So = .01143 


61 

100 ~ 


.03403 


_92 _ 
100 ~ 


.03633 


34 = .94483 


Wo = .01181 


62 
100 ~ 


.03441 


J3. _ 
100 — 


.03661 


35 = .98435 


M = .01330 


J3. _ 
100 


.03480 


Ji _ 
100 


.03701 


36 =1.03363 


S=. 01360 









SEP 13 



DOS 




^, 



'm 




^v 




m^^ 



